In the context of global change, emerging risks associated with parasites, invasive species and infectious diseases are an important issue especially for developing countries whose economies are resource-based. Our objective is to provide a mathematical framework to study the response of a harvested predator-prey system to a disease in the predator and proportional harvesting of predator. We co...

In this paper, maximum sustainable yield policy in prey-predator system is discussed where the prey population follows logistic law of growth. Here a model is proposed involving linear prey–predator interaction and intra-specific competition among predator populations. The growth rate of the predator depends upon predation on the modelled and alternate prey. In traditional prey–predator system,...

This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process. These models include quite general prey recruitment at every stage of analysis, with mass action predation, linear predator mortality as well as delays...

This paper introduces a spatially heterogeneous diffusive predator–prey model unifying the classical Lotka–Volterra and Holling–Tanner ones through prey saturation coefficient, \begin{document}$ m(x) $\end{document} , which is heterogenous it allowed to 'degenerate'. Thus, in some patches of territory species can interact according kinetics, while others effects play significant role on dynamic...

We are interested in prey-predator communities where the predator population evolves much faster than the prey’s (e.g. insect-tree communities). We introduce a piecewise deterministic model for these prey-predator communities that arises as a limit of a microscopic model when the number of predators goes to infinity. We prove that the process has a unique invariant probability measure and that ...