Host vector dynamics of pine wilt disease model with convex incidence rate

Ghaus ur Rahman, Kamal Shah, Fazal Haq and Naveed Ahmad

Chaos, Solitons & Fractals, 2018, vol. 113, issue C, 31-39

Abstract: The present studies provide qualitative aspects of pine wilt disease model while incorporating convex incidence rate. Studying the nature of the proposed model, it is shown that the basic reproductive number completely determine various dynamics of the model. The global asymptotic stability analysis is expounded at different equilibrium points. The model has shown that the disease disappear, when the threshold quantity falls below unity. Numerical results are presented graphically to illustrate theoretical discussions.

Keywords: Pine wilt disease model; Global stability; Convex incidence rate; Basic reproductive number (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:113:y:2018:i:c:p:31-39

DOI: 10.1016/j.chaos.2018.05.010

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