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Articles by Differential Equations
Combined Impacts of Dispersal and Delay in a Coupled Model: Emergence of Asymmetric Steady States and Limit Cycles, Multistability Along With Population Recovery
1 Introduction Spatial heterogeneity is an inherent feature of ecological systems, where resources, environmental conditions, predation pressure, and habitat quality are distributed unevenly across space. Empirical studies indicate that many species naturally occupy fragmented or patchy habitats [1-6].
Topological Data Analysis in Cardiovascular Signals: An Overview
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Stability scenarios and period‐doubling onset of chaos in a population model with delayed harvesting
Abstract In this work, we investigate complete stability behaviors of the Rosenzweig–MacArthur predator–prey model with delayed harvesting of the prey. The unharvested system exhibits either a steady-state or an oscillatory dynamics for the coexistence of the species. We explore how the delayed harvesting affects the dynamics of these two modes by analyzing the system stability in effort-delay bi-parameter plane. Some novel dynamical scenarios and intricate dynamics are obtained.
PhD Research Fellow in Machine Learning Job For Norwegian
Notification Job title Company Expected salary Location Job date PhD Research Fellow in Machine Learning Universitetet i Oslo 501200 – 544400 per year Oslo Wed, 01 Feb 2023 04:52:40 GMT The Times Of Updates Notification Job description models are vulnerable to various adversarial attacks at training and test time. Regarding the underlying architecture… to be among Europe’s leading communities for research, education and innovation. Candidates for this fellowship will be selected in…
Sjefsarkitekt i Cyberforsvarets digitaliseringsavdeling Job For Norwegian
Notification Job title Company Expected salary Location Job date Sjefsarkitekt i Cyberforsvarets digitaliseringsavdeling Forsvaret 864500 – 1118700 per year Oslo Sun, 05 Feb 2023 00:01:03 GMT The Times Of Updates Notification Job description av virksomhetskritiske systemer Erfaring med smidig arbeidsmetodikk og bruken av ALM-verktøy (Application Lifecycle Management) Erfaring…
PhD Research Fellow on the impact of tree-line expansion – A... Job For Norwegian - The Times Of Update
Notification Job title Company Expected salary Location Job date PhD Research Fellow on the impact of tree-line expansion – A threat to hydropower resources?
Torus doubling route to chaos and chaos eradication in delayed discrete‐time predator-prey models
CONFLICT OF INTEREST This work does not have any conflicts of interest. REFERENCES 1. Chaos to Permanence-Through Control Theory. PhD thesis. Clemson University; 2017. 2, , . Local and global dynamics of a fractional-order predator–prey system with habitat complexity and the corresponding discretized fractional-order system. J Appl Math Comput. 2020; 63(1): 311-340. 3, . The subcritical collapse of predator populations in discrete-time predator-prey models. Math Biosci. 1992; 110(1): 45-66. 4, .
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Home Full-text access for editors Matrix Mittag-Leffler function and solution of multi-term fractional differential equations by Junsheng Duan; Lian Chen International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 5, 2020 Abstract: In this paper, we first derive the solution of fractional differential equation system expressed in matrix Mittag-Leffler function by using the Adomian decomposition method.
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Home Full-text access for editors Bifurcation behaviour of a nonlinear innovation diffusion model with external influences by Rakesh Kumar; Anuj Kumar Sharma; Kulbhushan Agnihotri International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 4, 2020 Abstract: A nonlinear form of Bass model for innovation diffusion consisting of a system of two variables viz. for adopters and nonadopters population is proposed to lay stress on the evaluation period.
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Home Full-text access for editors 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory by Amina Feddaoui; Jaume Llibre; Amar Makhlouf International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol.
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Home Full-text access for editors Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations by Xianmin Zhang International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 3, 2020 Abstract: In this paper, the non-uniqueness of solution is mainly considered to the initial value problem (IVP) for the system of impulsive fractional differential equations (IFrDE) with Caputo-Katugampola derivative.
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Home Full-text access for editors Existence of multiple positive solutions for nonlinear three-point problem for Riemann-Liouville fractional differential equation by Yunhong Li; Weihua Jiang International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 2, 2020 Abstract: In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation.
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Home Full-text access for editors Diagnosis of time-delay fractional systems using observer-based methods by Halima Atitallah; Asma Aribi; Mohamed Aoun International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 2, 2020 Abstract: In this paper, two model-based methods are considered for the diagnosis of time-delay fractional systems.
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Home Full-text access for editors Existence and uniqueness of (ω,c)-periodic solutions of semilinear evolution equations by Makrina Agaoglou; Michal Fe?kan; Angeliki P. Panagiotidou International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 2, 2020 Abstract: In this work we study the existence and uniqueness of (ω, c)-periodic solutions for semilinear evolution equations in complex Banach spaces.
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Home Full-text access for editors Rough center in a 3-dimensional Lotka-Volterra system by Yusen Wu; Laigang Guo International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 2, 2020 Abstract: This paper identifies rough center for a Lotka-Volterra system, a 3-dimensional quadratic polynomial differential system with four parameters h, n, λ, μ. The known work shows the appearance of four limit cycles, but centre condition is not determined.
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Home Full-text access for editors Harvesting in tri-trophic food chain stabilises the chaotic dynamics-conclusion drawn from Hastings and Powell model by Binayak Nath; Krishna Pada Das International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 2, 2020 Abstract: The paper explores a tri-trophic food chain model with harvesting in the species. The curiosity of this paper is to observe chaotic dynamics and its control.
Spectroscopic and theoretical studies of fluorescence effects induced by the ESIPT process in a new derivative 2-Hydroxy-N-(2-phenylethyl)benzamide - Study on the effects of pH and medium polarity changes
Loading metrics Open Access Peer-reviewed Research Article Agnieszka Niemczynowicz, Iwona Budziak, Sławomir Kulesza, Andrzej Górecki, Marcin Makowski, Dariusz Karcz, Karolina Starzak, Bożena Gładyszewska, Janusz Podleśny, Agnieszka I. Piotrowicz-Cieślak, Arkadiusz Matwijczuk Agnieszka Niemczynowicz, Iwona Budziak, Sławomir Kulesza, Andrzej Górecki, Marcin Makowski, Dariusz Karcz, Karolina Starzak, Bożena Gładyszewska, Janusz Podleśny, Agnieszka I.
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Home Full-text access for editors A convergence computational scheme for system of integral equation using finite element method by Hamed Zeidabadi; Mohammad Heidari International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: In this paper, a computational scheme for extracting approximate solutions of system of integral equations is proposed.
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Home Full-text access for editors On ergodicity of Markovian mostly expanding semi-group actions by A. Ehsani; F.H. Ghane; M. Zaj International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: We consider finitely generated semigroup actions on a compact manifold and discuss their ergodic properties.
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Home Full-text access for editors Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions by Saranya Subbaiyan; Amar Debbouche; JinRong Wang International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: In this paper, we investigate approximate controllability of Hilfer fractional Sobolev type differential inclusions with nonlocal conditions.
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Home Full-text access for editors On invariant analysis, group classification and conservation laws of two component Novikov equation by Manjit Singh International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: The two-component Novikov equation is investigated for group classification and non-trivial local conservation laws.
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Home Full-text access for editors Multivariate vector sampling expansion in shift-invariant subspaces by Qingyue Zhang International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: Sampling theorems on a shift-invariant subspace are having a significant impact, since they avoid most of the problems associated with classical Shannon's theory.
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Home Full-text access for editors Some explicit oscillation results for the generalised Liénard type systems by Tohid Kasbi; Vahid Roomi; Aliasghar Jodayree Akbarfam International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 1, 2020 Abstract: In this work a generalised Liénard type system will be considered.
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Home Full-text access for editors Lyapunov-type inequalities for m-point fractional boundary value problem by Rabiaa Aouafi; Nacer Adjeroud International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: In this work, we establish some Lyapunov-type inequalities for the fractional boundary value problem of higher order under multi-point boundary conditions.
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Home Full-text access for editors Intrinsic growth rates influence on the net economic rents of fishermen by Meriem Bentounsi; Imane Agmour; Naceur Achtaich; Youssef El Foutayeni International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: In this paper, a mathematical model consisting of Sardina pilchardus, Xiphias gladius and Bluefin tuna is considered.
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Home Full-text access for editors Existence and multiplicity of solutions for the fractional Schrödinger equation with steep potential well and perturbation by Peiluan Li; Yuan Yuan International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: In the present paper, we investigate the solutions of a fractional Schrödinger equation with sublinear perturbation and steep potential well.
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Home Full-text access for editors Global exponential convergence of CNNs with multi-proportional delays and leakage delays by Changjin Xu; Peiluan Li International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: In this paper, we deal with cellular neural networks (CNNs) with multi-proportional delays and leakage delays.
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Home Full-text access for editors An antiplane electro-elastic contact problem: case regularised friction law by Hacene-Chaouche Soumeya; Dalah Mohamed; Boudjedour Allaoua International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: In this paper, we study an antiplane electro-elastic contact problem with regularised friction law.
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Home Full-text access for editors Permanence and extinction for a stochastic two-species competitive system by Yizhong Liu International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 4, 2019 Abstract: This paper deals with a stochastic two-species competitive system. Some very verifiable criteria on the uniformly weakly persistent in the mean almost surely (a.s.) and extinction for each species are obtained.
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Home Full-text access for editors On the global existence of solutions to a class of semilinear fractional order system with delay by Mengrui Xu; Shurong Sun International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol.
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Home Full-text access for editors Front transition in higher order diffusion equations with a general reaction nonlinearity by S. Shamseldeen International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: In this paper, we investigate the wave front solutions of a class of higher order reaction diffusion equations with a general reaction nonlinearity.
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Home Full-text access for editors Disappearance of limit cycle oscillations in a predator-prey model: role of mortality due to predation of infected prey by Krishna Pada Das; Subhabrata Ghosh; Somnath Maiti International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: This present work establishes an eco-epidemiological model by three elements, namely a susceptible prey, an infected prey and predator.
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Home Full-text access for editors Role of harvesting in controlling chaos and disease propagation in predator-prey system with disease in prey by Prodip Roy; Krishna Pada Das; Partha Karmakar; Seema Sarkar (Mondal) International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: The paper explores an eco-epidemiological model with harvesting in the species and the disease is circulating in the prey population.
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Home Full-text access for editors Multiple periodic solutions for second order impulsive delay differential equations by Fatima Dib; Naima Daoudi-Merzagui International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: In this paper we discuss the existence of periodic solutions for an impulsive nonautonomous second order delay differential equation. We obtain multiple periodic solutions by a variational approach.
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Home Full-text access for editors First order fifth degree Fuchs differential equation with fixed critical points by Khaled M'hamed-Messaoud; Toufik Laadj; Arezki Kessi International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: In this paper, we are interested in studying the nonlinear differential equations of order one and fifth degree, whose general integral is uniform.
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Home Full-text access for editors Population dynamic caused by war involvement via fractional derivative on time scales by Mehdi Nategh; Dumitru Baleanu; Abdolali Neamaty; Bahram Agheli International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 3, 2019 Abstract: This work suggests a model for a population dynamic caused by an enemy attack to a domain of residential areas.
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Home Full-text access for editors Axi-symmetric thermoelastic stress analysis of a thin circular plate due to heat generation by Kishor R. Gaikwad International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol.
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Home Full-text access for editors Ergodic shadowing of non-autonomous discrete-time dynamical systems by H. Parham; F.H. Ghane; E. Rezaali International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: The present work is concerned with the ergodic shadowing property of non-autonomous discrete-time dynamical systems. The concept of the ergodic shadowing was introduced by Fakhari and Ghane (2010) for a continuous onto map.
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Home Full-text access for editors An additive separation of variables 3D solution to a dynamical BVP for neutron cancer therapy by Nassar H.S. Haidar International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: We study the boundary-value problem (BVP) for irradiation of a right parallelepipedal cancerous region in a (B/Gd) neutron cancer therapy (NCT) composite- region setup by three mutually orthogonal, time-modulated, one-speed neutron beams.
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Home Full-text access for editors Global dynamics of a cancer stem cell treatment model by K. Abernathy; Z. Abernathy; R. Dougherty-Bliss; C. Mayer; H. Whiteside International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: We provide global stability arguments for a cancer treatment model with chemotherapy and radiotherapy that accounts for the cancer stem cell hypothesis.
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Home Full-text access for editors Lyapunov-type inequalities on fractional q-difference Schrödinger equation with Woods-Saxon potential by Kuikui Ma; Zhenlai Han International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: In this paper, the integer order Schrödinger equation with Woods-Saxon potential is extended to the fractional q-difference field.
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Home Full-text access for editors Lie group analysis for heat transfer in flow of second grade fluid by T. Amtout; H. Biyadi; M. Er-Riani; M. El Jarroudi International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: In this paper, the Lie symmetry analysis is performed for the heat transfer flow of a second grade fluid between two parallel heated plates. The symmetries for the coupled equations are given.
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Home Full-text access for editors Results on approximate controllability of second-order non-autonomous integrodifferential inclusions via resolvent operators by M. Tamilselvan; R. Murugesu International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019 Abstract: In this work, we establish a set of sufficient conditions for the approximate controllability for a class of non-autonomous second-order integrodifferential inclusions in Banach spaces.
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Home Full-text access for editors Leader following speed synchronisation in multiple DC motor system using a hybrid controller by Suhaib Masroor; Chen Peng; Syed Muhammad Fazal-ul-karim International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol.
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Home Full-text access for editors Lie symmetry analysis and conservation laws of certain time fractional partial differential equations by R. Sahadevan; P. Prakash International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 1, 2019 Abstract: A method is presented to derive the Lie point symmetries of time fractional partial differential equations in the sense of Riemann-Liouville fractional derivative.
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Home Full-text access for editors On some attractors of a two-dimensional quadratic map by Mohamed Réda Ferchichi; Abla Yousfi International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 1, 2019 Abstract: In this paper, we study the appearance, evolution and neighbourhood of two attractors of a dynamical system defined by a quadratic polynomial map T: R2 → R2. The first is a Cantor-type attractor located on an invariant straight line.
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Home Full-text access for editors Behaviour of two-dimensional competitive system of nonlinear difference equations of higher order by Jerico B. Bacani; Julius Fergy T. Rabago International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 1, 2019 Abstract: We generalise a recent result of Mansour et al. (2012) and study other related systems that deal with the dynamics of a competitive population model described by a system of nonlinear difference equations.
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Home Full-text access for editors Unique solutions for new fractional differential equations with p-Laplacian and infinite-point boundary conditions by Li Wang; Chengbo Zhai International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 1, 2019 Abstract: In this paper, we study the uniqueness and existence of solutions for a new fractional differential equation with p-Laplacian and infinite-point boundary conditions.
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The full text of this article Dynamical behaviours of an impulsive food-chain system with Hassell-Varley functional response and mutual interference by Si Zhou; Yuanfu Shao; Qin Liu; Zhen Wang International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 8, No. 4, 2018 Abstract: An impulsively controlled food-chain system with Hassell-Varley functional response and mutual interference is established in this paper.
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