Global Dynamics Behaviors of Viral Infection Model for Pest Management | Zendy

Chunjin Wei | Zendy; Lansun Chen | Zendy

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Global Dynamics Behaviors of Viral Infection Model for Pest Management

Author(s) -

Chunjin Wei,

Lansun Chen

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/693472

Subject(s) - floquet theory , bounded function , perturbation (astronomy) , mathematics , pest analysis , stability theory , integrated pest management , stability (learning theory) , comparison theorem , control theory (sociology) , computer science , mathematical analysis , biology , physics , ecology , control (management) , artificial intelligence , nonlinear system , quantum mechanics , botany , machine learning

According to biological strategy for pest control, a mathematical model with periodic releasing virus particles for insect viruses attacking pests is considered. By using Floquet's theorem, small-amplitude perturbation skills andcomparison theorem, we prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically stable pest-eradication periodic solution when the amount of virus particles released is larger than some critical value. When the amount of virus particles released is less than some critical value, the system is shown to be permanent, which implies that the trivial pest-eradication solution loses its stability. Further, the mathematical results are also confirmed by means ofnumerical simulation

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