Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays

Demou Luo, ,School of Mathematics, Sun Yat-sen University, Guangzhou 510275, Guangdong, China, Qiru Wang
2017 Discrete and continuous dynamical systems. Series B  
This article is concerned with a generalized almost periodic predatorprey model with impulsive effects and time delays. By utilizing comparison theorem and constructing a feasible Lyapunov functional, we obtain sufficient conditions to guarantee the permanence and global asymptotic stability of the system. By applying Arzelà-Ascoli theorem, we establish the existence and uniqueness of almost-periodic positive solutions. A feasible numerical simulation is provided to explain the suitability of
more » ... he suitability of our main criteria. 2020 Mathematics Subject Classification. Primary: 34K14, 34K20, 34K45; Secondary: 92D25. Key words and phrases. Almost periodic predator-prey model, impulsive effects and time delays, permanence and global stability, existence and uniqueness of almost periodic positive solutions.
doi:10.3934/dcdsb.2020238 fatcat:b6aj77jukrecvobhypexqdcmge