A Modified Model of Zika Virus Spread with Saturated Incidence Rate: Modelling and StabilityAnalysis

PUJI ANDAYANI*, LISA RISFANA SARI
Department of Informatics, Universitas Internasional Semen Indonesia

Abstract

In this paper, we studied the population behaviour in the Zika virus spread system. Several authors have discussed the mathematical model of the spread of the Zika virus. This paper will modify the transmission pattern that is inhibited by the presence of educational factors for vulnerable populations to inhibited the transmission rate. The model consists of five nonlinear differential equations and it is reduced to three nonlinear equations. Then we analyzed the equilibrium points and reproduction number, to describe the stability of the system. Analytically, the disease-free equilibrium it can be ascertained that the mortality indicates that the disease-free balance is locally asymptotically stable when the reproduction number is less than one. Otherwise, the endemic equilibrium point is locally asymptotically stable. Numerical analysis is also performed to show the equilibrium behaviour of the system on certain parameters. The first section in your paper.

Keywords: Zika Virus, Endemic, Incidence Rate

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