Numerical Study of Predator-Prey Model with Beddington-DeAngelis Functional Response and Prey Harvesting

Effort Dynamics in a Selective Harvesting Prey-Predator Fishery with Beddington- DeAngelis Functional Response

In this paper, regulation of selective harvesting of a prey-predator fishery with Beddington-DeAngelis functional response [1,2] is discussed, considering taxation as a control instrument and harvesting effort as a dynamic variable. The Beddington-DeAngelis functional response is similar to the Holling type II [3] functional response but contains one extra term describing mutual interference by...

Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control

A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and themethod of successor function, we obtain the systemwith impulsive effects that has an order o...

Dynamics of a Stochastic Predator -prey Model with the Beddington -deangelis Functional Response

We consider a stochastic predator prey model with the Bedington -DeAngelis functional response. Firstly, we prove the existence, uniqueness and positivity of solutions. Then, the boundedness of moments of population are studied. Finally, we show the weak convergence of densities of prey to a singular measure in a special case, and give some upper growth and exponential death rates of population...

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

Spatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model

In this paper, we investigate the emergence of a predator-prey model with Beddington-DeAngelistype functional response and reaction-diffusion. We derive the conditions for Hopf and Turing bifurcation on the spatial domain. Based on the stability and bifurcation analysis, we give the spatial pattern formation via numerical simulation, i.e., the evolution process of the model near the coexistence...