Stability in Distribution of a Stochastic Competitive Lotka-Volterra System with S-type Distributed Time Delays

Sheng Wang (), Guixin Hu () and Linshan Wang ()
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Sheng Wang: Henan Polytechnic University
Guixin Hu: Henan Polytechnic University
Linshan Wang: Ocean University of China

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 4, 1241-1257

Abstract: Abstract This paper concerns the dynamics of a stochastic competitive Lotka-Volterra system with S-type distributed time delays. First, sufficient conditions for stability in mean and extinction of each population are obtained. Then, sufficient conditions for the stability in distribution of the solutions (SDS) to the system are established. Finally, some numerical simulations are provided to support the theoretical results.

Keywords: Stability; Lotka-Volterra system; Time delay; 60H10; 60H30 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s11009-018-9615-6

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