[PDF] Top 20 Analysis of a Delayed Stochastic One Predator Two Prey Population Model in a Polluted Environment

... above model does not incorporate the effect of time delay, but for a long time, it has been recognized that delays can have a complex effect on the dy- namics of a system [9] ...of prey and the death rate ... See full document

... A predator-prey model with Beddington-DeAngelis functional response and disease in the predator population is proposed, corresponding to the deterministic system, a stochastic ... See full document

... the population may even be extinct. The biological population simulation with environmental noise is closer to the real ...equation model with time delay has more complex dynamic behavior than the ... See full document

... of stochastic predator-prey populations in toxic ...the model established in this paper possesses non-negative solutions as this is essential in any population dynamics ...out ... See full document

... the model is deterministic, and does not incorporate the effect of environmental noise, which is always ...world, population models are always affected by the environmental noise, which is an important ... See full document

... biological population, and the mathematical explana- tion is that sample paths are not continuous almost ...that stochastic differential equations with Lévy noise are quite suitable to describe such a ... See full document

... the population systems in the real world are always inevitably in- fluenced by all kinds of environmental noises which are an important component in an ...are two types of environmental noises: white noise ... See full document

... (LV) two-species predator-prey system, stochastic models exhibit long- lived but ultimately decaying oscillations, already contradicting the classical picture of neutral population ... See full document

... a delayed Leslie-Grower predator-prey model both with refuge and the piecewise linear threshold policy harvesting given by ...a predator population has a reciprocal relation- ... See full document

... learning model for a stochastic automaton simulating the behaviour of a predator operating in a random environment occupied by two types of prey: palatable mimics and unpalatable ... See full document

... in population models are not absolute ...affect population system ...considered population systems perturbed by white noise see ...between two or more regimes of environmental, which differ by ... See full document

... the predator and assume that the toxicants have no effect on the mature ...toxicant-population model with stage structure, diffusional migration, and time delay so as to obtain some conditions under ... See full document

... The rest of the paper is arranged as follows. In Section 2, we show that for any given initial data, model (2) has a unique global positive solution. Then in Section 3, we establish the sufficient conditions for ... See full document

... prey population. Further, the possibility of risk of extinction of prey population has been increased due to time lag for ...human population and fish population in a certain ... See full document

... As an important area of research, pest control has generated an increasing interest in re- cent years [1–12]. Pest control is a complex issue in real applications, where a key objective is to reduce harm caused by pests ... See full document

... the population sizes of the prey and the predator, respectively; r i , a ij , τ and δ i (i, j = 1, 2) are given positive ...investigated model (M); see ...of stochastic ... See full document

... a predator-prey model with disease in prey incorporating predator ...the model is the Holling ...a predator species from extinction, harvesting shall be used as an ... See full document

... Dynamical analysis of the systems with time delays is more complex due to the non deterministic polynomial time hard (NP-hard) nature of the stability system ... See full document

... In the predator-prey interaction, predation is viewed as a "disease" of the predator transmitted by the prey.. In this approach, the predator population is partitioned into hungr[r] ... See full document

... A stochastic predator-prey system with time-dependent delays is ...the prey is obtained and we also give the asymptotic pathwise ...the model to illustrate our ... See full document