Invariant measure of a stochastic food-limited population model with regime switching

Dagen Li and Meng Liu

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 178, issue C, 16-26

Abstract: This paper puts forward and tests a food-limited population model with both white noise and regime switching perturbations. It is testified that there exists a key value ā, with the following features: if ā>0, then the model owns a unique ergodic invariant measure to which the transition probability of the solution converges exponentially fast; if ā<0, then the limit of the solution as time approaches infinity is zero. The results uncover that both white noise and regime switching could make the stability of the model change.

Keywords: Food-limited model; Regime-switching; Stability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:178:y:2020:i:c:p:16-26

DOI: 10.1016/j.matcom.2020.06.003

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