The present investigation accounts for the influence of intra-specific competition among
predators in the original Beddington–DeAngelis predator–prey model. We offer a detailed …

Two models of a density dependent predator–prey system with Beddington–DeAngelis
functional response are systematically considered. One includes the time delay in the …

The most widely used functional response in describing predator–prey relationships is the
Holling type II functional response, where per capita predation is a smooth, increasing, and …

A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional
response is studied. The local stability of the equilibria and the permanence of the system …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

General two-dimensional autonomous dynamical systems and their standard numerical
discretizations are considered. Nonstandard stability-preserving finite-difference schemes …

Use of additional/alternative food source to predators is one of the widely recognised
practices in the field of biological control. Both theoretical and experimental works point out …

Predator–prey systems with linear and logistic intrinsic growth rate of the prey are analyzed.
The models incorporate the mutual interference between predators into the functional …

In this paper, we study the permanence, extinction and periodic solution of the periodic
predator–prey system with Beddington–DeAngelis functional response and stage structure …

In any reaction–diffusion system of predator–prey models, the population densities of
species are determined by the interactions between them, together with the influences from …