NUMERICAL STUDY FOR ZIKA VIRUS TRANSMISSION WITH BEDDINGTON-DEANGELIS INCIDENCE RATE

Puji Andayani1,*, Lisa Risfana Sari1, Agus Suryanto2 and Isnani Darti2
1Universitas International Semen Indonesia
61122, Gresik, Indonesia
2Department of Mathematics
Faculty of Mathematics and Science
Brawijaya University
65145, Malang, Indonesia

In this paper, we focus on the behavior of Zika virus transmission with Beddington-DeAngelis incidence rate. The main purpose of this work is to identify the recovery time and predict the endemic condition of Zika virus. The equilibrium points of the system are identified by Jacobian. The basic reproduction number exhibits the
natural compartment of disease transmission investigated using next generation matrix (NGM) method. The sensitivity indexes of the parameter are computed to investigate the intervention strategies to prevent the Zika virus transmission. The stability condition of each equilibrium point is shown by numerical simulation. According to
numerical solutions, the disease-free and endemic conditions occur for the specific value of the basic reproduction number.

Keywords and phrases: Zika transmission, Beddington-DeAngelis, next generation matrix, reproduction number, sensitivity analysis

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