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Permanence, existence, and stability of almost automorphic solution of a non‐autonomous Leslie–Gower prey–predator model with control feedback terms on time scales
Author(s) -
Dhama Soniya,
Abbas Syed
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6362
Subject(s) - mathematics , complement (music) , stability (learning theory) , predation , property (philosophy) , lyapunov function , predator , control theory (sociology) , mathematical economics , control (management) , ecology , computer science , artificial intelligence , nonlinear system , physics , epistemology , quantum mechanics , machine learning , biochemistry , chemistry , philosophy , complementation , biology , gene , phenotype
A general non‐autonomous Leslie–Gower prey–predator model on time scales with control input terms is examined in the present paper. The significant property permanence is established along with the existence of almost automorphic solution of the model system. By constructing a suitable Lyapunov functional, presence of a one of a kind all‐around attractive positive almost automorphic solution of the system is obtained. At the end, two numerical examples are given to demonstrate the effectiveness of our hypothetical outcomes with simulations. The outcomes are new and complement the existing ones.