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

Author(s)

Ghaus ur Rahman, University of Swat
Kamal Shah, University of Malakand
Fazal Haq, Hazara University Pakistan
Naveed Ahmad, Institute of Business Administration, KarachiFollow

Author Affiliation

Naveed Ahmad is Assistant Professor of Mathematical Sciences at Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Chaos, Solitons and Fractals

ISSN

0960-0779

Keywords

Basic reproductive number, Convex incidence rate, Global stability, Pine wilt disease model

Disciplines

Applied Mathematics | Astrophysics and Astronomy | Mathematics

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.

Indexing Information

HJRS - W Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Journal Quality Ranking

Impact Factor: 5.944

Recommended Citation

Rahman, G. u., Shah, K., Haq, F., & Ahmad, N. (2018). Host vector dynamics of pine wilt disease model with convex incidence rate. Chaos, Solitons and Fractals, 113, 31-39. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/169

Publication Status

Published