三种群捕食-竞争-合作混杂模型的全局渐近稳定性

doi:10.16088/j.issn.1001-6600.2020.05.008

Abstract

Abstract: This paper establishes a class of ecological model of three species with predator-competition-cooperative hybrid interaction. Firstly, the positivity and boundedness of the solution of the system are discussed by introducing auxiliary system and differential comparison principle. Next, the sufficient conditions of globally asymptotically stable positive equilibrium are abtained by constructing suitable Lyapunov functions and some analytical skills. Finally, numerical simulations are conducted to verify the theoretical results.

Key words: periodicity, Lyapunov functions, global asymptotic stability, predator-competition-cooperative hybrid systems

CLC Number:

O175

ZHENG Tao, ZHOU Xinran, ZHANG Long. Global Asymptotic Stability of Predator-Competition-Cooperative Hybrid Population Models of Three Species[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(5): 64-70.

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Global Asymptotic Stability of Predator-Competition-Cooperative Hybrid Population Models of Three Species

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