Dynamics of an imprecise stochastic Lotka Volterra food chain chemostat model with Levy jumps

2020/04/09 by Fei Sun, Sun, Fei
Biochemistry, Genetics and Molecular Biology · Environmental Science · Medicine · #Ecosystem dynamics and resilience #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2004.04307

openalex publication_date 2020/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Population dynamics are often affected by sudden environmental perturbations. Parameters of stochastic models are often imprecise due to various uncertainties. In this paper, we formulate a stochastic Lotka Volterra food chain chemostat model that includes Levy jumps and interval parameters. Firstly, we prove the existence and uniqueness of the positive solution. Moreover, the threshold between extinction and persistence in the mean of the microorganism is obtained. Finally, some simulations are carried out to demonstrate our theoretical results.

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