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A Stochastic Prey-Predator Model Of Switching-diffusion Processes With Jumps

Posted on:2017-04-08Degree:MasterType:Thesis
Country:ChinaCandidate:C LiFull Text:PDF
GTID:2180330482489522Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
Recently. Prey-Predator model has received a great deal of attention of schol-ars. It is an important branch of ecology science. And researching Prey-Predator model is a positive significance of species conservation, ecological balance and so on.Many scholars do a lot of research for Prey-Predator model. On that basis, we build a Prey-Predator model of switching-diffusion processes with jumps. adding the color noise and Levy noise. Meanwhile, we show the existence of unique global positive solution, boundedness and asymptotic properties of the solution. Besides, persistent in mean and extinction are established. Finally, we present some simulations to illustrate our main results.
Keywords/Search Tags:Brownian Motion, Color noise, Levy noise, Narkov chain, persis- tence
PDF Full Text Request
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