In this paper, a predator–prey system with Beddington–DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, there exists a unique almost periodic solution which is shown to be globally asymptotically stable.

This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.

A predator-prey system was studied that has a discrete delay, stage-structure, and Beddington-DeAngelis functional response, where predator species has three stages, immature, mature, and old age stages. By using of Mawhin's continuous theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution.

A non-autonomous discrete commensal symbiosis model with Beddington-DeAngelis functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution system.

Keywords: Time delay Global stability Lyapunov functional Nonlinear incidence a b s t r a c t In this paper, a delayed HIV-1 infection model with nonlinear incidence of infection is reinvestigated. It is shown that if the reproduction number R > 1, then the system is permanent , and the infective equilibrium of the system is globally asymptotically stable. Thus, the global dynamics of the syste...

A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived. Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established. The global attractiveness of the solution is...

The Beddington–DeAngelis predator–prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numer...

In this paper we establish some easily verifiable sufficient conditions for the existence of periodic solutions nonautonomous Predator-Prey Model with Beddington-DeAngelis Functional response and time delay using Mowhins Coincidence degree method.

In this paper, we systematically study the dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (al...

We formulate and analyze a multi-generation population dynamics model for pollinators' mutualism with plants. The centerpiece of our model is an analytical expression for population-level plant-pollinator interactions extrapolated from a model of individual-level flowers and bees interactions. We also show that this analytical expression can be productively approximated by the Beddington-DeAnge...