In this paper, a model is proposed for the biological control of a pest by its natural predator. The model incorporates a qualitative description of intrapredatory interference whereby predator density decreases the per capita predation efficiency and generalises the classical Beddington-DeAngelis formulation. A pair of coupled ordinary differential equations are used, augmented by a discrete c...

A model of viral infection of monocytes population by dengue virus is formulated in a system of four ordinary differential equations. The model takes into account the immune response and the incidence rate of susceptible and free virus particle as Beddington-DeAngelis functional response. By constructing a block, the global stability of the uninfected steady state is investigated. This steady s...

In this paper, we investigate the population dynamics of phytoplankton–zooplankton–nanoparticle model with diffusion and density dependent death rate predator. The functional response predator in is considered as Beddington–DeAngelis type. stability analysis equilibrium points observed by applying Routh–Hurwitz criterion. Numerical simulations are given to illustrate theoretical results.

Abstract This paper studies a stochastic predator–prey model with Beddington–DeAngelis functional response, fear effect, and Lévy noise, where the is of prey induced by predator. First, we use Itô’s formula to prove existence uniqueness global positive solution its moment boundedness. Next, sufficient conditions for persistence extinction both species are given. We further investigate stability...

This paper is devoted to studying the existence and nonexistence of traveling wave solution for a nonlocal dispersal delayed predator-prey system with Beddington-DeAngelis functional response harvesting. By constructing suitable upper-lower solutions applying Schauder's fixed point theorem, we show that there exists positive constant $ c^* such possesses any given c > $. Moreover,...

In this paper, the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Beddington DeAngelis functional response incorporating constant proportion of prey refuge under homogeneous Neumann boundary condition is investigated. The local and global asymptotic stability of the unique positive homogeneous steady state in the absence of diffusion are discussed. Furthermore, we ...

In this paper, we first establish the existence of semi-traveling wave solutions to a diffusive generalized Holling-Tanner predator-prey model in which functional response may depend on both predator and prey populations. Then, by constructing Lyapunov function, apply obtained result show traveling models with various responses, including Lotka-Volterra type response, Holling ? Beddington-DeAng...

In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R0 of the model is obtained. We investigate the global behavior of the model in terms of R0: if R0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable, whereas if R0 > 1, then the infection equilibrium is global...