[PDF] Top 20 Analysis of a Stochastic Predator-Prey Model in Polluted Environments

... E NVIRONMENTAL pollution by modern industry, a- griculture, and other human activities is one of the most important socio-ecological problems in the world today. The presence of toxicant in the environment is a great ... See full document

... susceptible predator population goes to extinction, the infected predator population will also die out, which is consistent with the ...the predator popula- tion now, we can consider it in another ... See full document

... Abstract—In this paper, we consider a stochastic Gilpin-Ayala model in polluted environments. Firstly, sufficient conditions for extinction, non-persistence in the mean, weak persistence and ... See full document

... Crowley-Martin functional response. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions for extinction, persistence in the mean, and stochastic ... See full document

... a stochastic differential ...a stochastic predator-prey model with disease in the prey and discuss the asymptotic behavior around the positive equilibrium of its deterministic ... See full document

... a stochastic predator–prey model with Allee effect and Lévy ...of stochastic differential equations, we prove that the model has a unique global positive solution starting from the ... See full document

... investigated stochastic logistic models with Lévy noise and gave sufficient and necessary conditions for the stochastic permanence and extinction; Liu [] established the sufficient conditions for the ... 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 ...eat ... 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 which the ... See full document

... spatial stochastic model to discuss strategies to control the epidemic was intro- duced by Schinazi ...a stochastic model to study the problem of optimal controlling the epidemic [3] ... 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 analysis ... See full document

... The rest is organized as follows. In Section 2, we show some notations and in- troduce a stochastic delayed one-predator two-prey model in polluted environ- ment. In Section 3, we show ... See full document

... solutions, stochastic permanence, and extinction were discussed, and the limit of the average in time of the sample path was ...Lotka-Volterra model in random environments and obtained nice ...the ... See full document

... by stochastic processes. Recently, the stochastic predator-prey systems have re- ceived much attention from scholars ...the stochastic stability and asymptotic behaviors around the ... See full document

... a stochastic Holling II n-predator one-prey ...The stochastic break-even concentra- tion of each predator determines the competition ...the predator with lower noise may win the ... See full document

... SDE model, although the mean value and variance have not been explicitly computed like in [29, ...of prey and the density-dependent death rate of ... See full document

... ecological prey predator fishery model system with a generalized case where both the patches are accessible to both prey and ...the prey migrate between two patches randomly. The growth ... See full document

... the model and background ...the prey-extinction boundary periodic so- lution of system () and the permanent condition of system () in Section ...Simulation analysis and brief discussion are given ... See full document

... this model has been used as a machine to introduce numerous mathematical and practical concepts in theoretical ...Lotka-Volterra model have also been made to overcome the shortcomings of the model ... See full document

... converting prey biomass to predator biomass as their population increases, is validated by a study conducted by Schmidt and Mech [13] on the optimal wolf pack ... See full document