Lakshmi Narayan Guin

The present investigation focuses on the combined result of the predator’s Allee effect and the constant proportion of prey refuge in a spatiotemporal interacting species model. The bi-stability of equilibria has been analyzed theoretically and numerically. Subject to a feasible set of parameter values, sensitivity analysis has provided a one- and two-parametric bifurcation diagram and identified all potential codimension $1$ and $2$ bifurcations that the system may encounter.

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Of concern, the present article is a theoretical investigation on the reaction–diffusion interacting species model system including prey harvesting and the alternative food source for the predator maintained partially by Beverton–Holt-like food. Major attention is focused on the influence of alternative food source for the predator in the event of prey harvesting on the dynamical complexity of the system.