Persistence in Stochastic Lotka–Volterra Food Chains with Intraspecific Competition
نویسندگان
چکیده
منابع مشابه
Persistence in Stochastic Lotka--Volterra food chains with intraspecific competition
This paper is devoted to the analysis of a simple Lotka-Volterra food chain evolving in a stochastic environment. It can be seen as the companion paper of Hening and Nguyen (J. of Math. Biol. ‘18) where we have characterized the persistence and extinction of such a food chain under the assumption that there is no intraspecific competition among predators. In the current paper we focus on the ca...
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We study the persistence and extinction of species in a simple food chain that is modelled by a Lotka-Volterra system with environmental stochasticity. There exist sharp results for deterministic Lotka-Volterra systems in the literature but few for their stochastic counterparts. The food chain we analyze consists of one prey and [Formula: see text] predators. The jth predator eats the [Formula:...
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In this paper, the results of Freedman and So (1985) on global stability and persistence of simple food chains are extended to general diffusive food chains. For global stability of the unique homogeneous positive steady state, our approach involves an application of the invariance principle of reaction-diffusion equations and the construction of a Liapunov functional. For persistence, we use t...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2018
ISSN: 0092-8240,1522-9602
DOI: 10.1007/s11538-018-0468-5