Work

Asymptotic stability of stochastic single-species model under regime switching

Year: 2024

Type: article

Abstract: This paper investigates the stationary probability distribution of the well-known stochastic logistic equation under regime switching. Sufficient conditions for the asymptotic stability of both the zero solution and the positive equilibrium are derived. The stationary distribution of the logistic equation under Markovian switching is obtained by computing the weighted mean of the stationary distributions of its subsystems. The weights correspond to the limiting distribution of the underlying Markov chain.

Source: Open Journal of Mathematical Analysis

DOI: 10.30538/psrp-oma2024.0140

Authors: Zhihao Geng, Manqing Yang

Institution: Henan Polytechnic University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: Henan Polytechnic University

Award: G7501242052