In this paper, a stochastic predator-prey system with Holling II functional response is studied. First, we show that there is a unique positive solution to the system for any given positive initial value. Then, stochastically bounded of the positive solution to the stochastic system is derived. Moreover, sufficient conditions for global asymptotic stability are also established. In the end, som...

The classical Holling type II functional response, describing the per capita predation as a function of prey density, was modified by Beddington and de Angelis to include interference of predators that increases with predator density and decreases the number of killed prey. In the present paper we further generalize the Beddington-de Angelis functional response, considering that all predator ac...

Population cycles in small mammal has attracted the attention of several generations of theoretical and experimental biologists and continues to generate controversy. Top-down and bottom-up trophic regulations are two recent competing hypotheses. The principal purpose of this paper is to answer the following simple question: What ecological factors control population cycles? For some species — ...

This paper investigates the global stability of virus dynamics model with BeddingtonDeAngelis infection rate. By constructing Lyapunov functions, the global properties have been analyzed. If the basic reproductive ratio of the virus is less than or equal to one, the uninfected steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is more than one, the infe...

In this work, we have introduced a tritrophic food-chain model where consumer hunt for prey with Holling type-III functional response. The birth rate of the population has been reduced due to fear predation, i.e., effect is considered in population. Moreover, fraction available consumption and done by incorporation refuge term. predation between predator follows Beddington-DeAngelis Boundedness...

searching efficiency (a') (attack rate) and handling time are two major components of natural enemies’ functional response and are usually used to evaluate their effectiveness. the age-specific searching efficiency of aphidoletes aphidimyza (rondani) was studied during its larval stage. the experiment was conducted in terms of age-specific functional response to the varying density (5, 1...

It is estimated by scientists that 50–80% of the oxygen production on planet comes from oceans due to photosynthetic activity phytoplankton. Some this consumed both phytoplankton and zooplankton for cellular respiration. In article, we have analyzed dynamics oxygen-plankton model with a modified Holling type II functional response, based premise has variable search rate, rather than constant, w...

In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It assumed that prey population a dangerous population. The equilibrium point of and stability coexistence are analyzed. simulation results show both predator populations will not become extinct as time increases. When density increases, there decrease in predatory beca...