Stability and bifurcation in a vector-bias model of malaria transmission with delay

Jinhui Li, Zhidong Teng and Long Zhang

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 152, issue C, 15-34

Abstract: In this paper, we propose a new vector-bias model of malaria transmission with time delay. The basic reproduction number and the existence of equilibria are obtained. By using the linearization method and the theory of Hopf bifurcation, we study local stability and the existence of Hopf bifurcation. Furthermore, the direction and stability of the Hopf bifurcation are discussed by normal form method and center manifold theory. Finally, some numerical examples are given to illustrate the theoretical results and show that the delay destabilized the model and led to the occurrence of chaotic attractors.

Keywords: Malaria transmission model; Vector-bias; Time delay; Stability; Hopf bifurcation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:152:y:2018:i:c:p:15-34

DOI: 10.1016/j.matcom.2018.04.009

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