Dynamic Analysis of a Model for Spruce Budworm Populations with Delay | Zendy

Ahmadjan Muhammadhaji | Zendy; Azhar Halik | Zendy

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Dynamic Analysis of a Model for Spruce Budworm Populations with Delay

Author(s) -

Ahmadjan Muhammadhaji,

Azhar Halik

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/1091716

Subject(s) - spruce budworm , mathematics , continuation , population model , verifiable secret sharing , population , set (abstract data type) , control theory (sociology) , lyapunov function , computer science , ecology , lepidoptera genitalia , artificial intelligence , demography , control (management) , physics , nonlinear system , quantum mechanics , sociology , biology , programming language , tortricidae

A class of delayed spruce budworm population model is considered. Compared with previous studies, both autonomous and nonautonomous delayed spruce budworm population models are considered. By using the inequality techniques, continuation theorem, and the construction of suitable Lyapunov functional, we establish a set of easily verifiable sufficient conditions on the permanence, existence, and global attractivity of positive periodic solutions for the considered system. Finally, an example and its numerical simulation are given to illustrate our main results.

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