Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response

Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response

Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response

Periodic Solutions for A Predator-Prey Model with Beddington-DeAngelis Type Functional Response on Time Scales

TIn this paper, the existence of periodic solutions of a predator-prey model with Beddington-DeAngelis type functional response is investigated by using the Gaines and Mawhins continuation theorem of coincidence degree theory on time scales. Some conditions are obtained for the existence of periodic solutions. The approach is unified to provide the existence of the desired solutions for the con...

Study on a non-autonomous predator-prey system with Beddington-DeAngelis functional response

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.

Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response

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...