Open AccessPersistence and almost periodic problems for Non-autonomous predator system with generalized functional response functions
Author(s) -
Ruiping Huang,
QI Xin-she,
Lei Deng,
Hao Wu
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1325/1/012022
Subject(s) - functional response , mathematics , ordinary differential equation , stability theory , persistence (discontinuity) , exponential stability , stability (learning theory) , function (biology) , mathematical analysis , control theory (sociology) , predator , differential equation , computer science , nonlinear system , predation , ecology , physics , biology , geotechnical engineering , quantum mechanics , machine learning , evolutionary biology , artificial intelligence , engineering , control (management)
The classical functional response function is generalized to a generalized functional response function for a three-group mixed non-autonomous predator system with both predator and competitive relationships. Through the constructor and the qualitative knowledge of ordinary differential equations, this paper studies the continuity and global asymptotic stability of the system and further discusses the existence and stability of the positive almost periodic solution of the system, and obtains sufficient conditions for the existence of unique, globally asymptotically stable positive almost periodic solutions of the system, and the existing conclusions has been extended to a large extent.