Zha, Shuling; Guo, Gaihui Stability of stochastic predator-prey models with Holling-III response function. (Chinese. English summary) Zbl 1463.34215 J. Northwest Norm. Univ., Nat. Sci. 56, No. 2, 10-14 (2020). Summary: A kind of stochastic predator-prey model with Holling-III response function is considered. It is proved that the system has almost surely a unique global positive solution. Based on the existence of unique global positive solution, the stochastic stability of equilibrium state is analyzed by constructing Lyapunov function and the asymptotic behavior of global solution is given in the paper. MSC: 34C60 Qualitative investigation and simulation of ordinary differential equation models 34D05 Asymptotic properties of solutions to ordinary differential equations 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 92D25 Population dynamics (general) 34F05 Ordinary differential equations and systems with randomness 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:stochastic perturbation; stochastic stability; stochastic integral; Holling-III response function; global positive solution PDFBibTeX XMLCite \textit{S. Zha} and \textit{G. Guo}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 2, 10--14 (2020; Zbl 1463.34215) Full Text: DOI