Modelling the dynamics of the Zika virus with public health education and transgenic mosquitoes as control measures

In this dissertation a deterministic mathematical model for the dynamics of the Zika Virus with public health education and transgenic mosquitoes as control measures that include both vector and sexual transmissions is formulated and analysed. The incidence term is assumed to be of the bilinear mass - action for vector transmission and standard mass action for human to human transmission. Appropriate techniques including the next generation method, sensitivity analysis and numerical simulation, are used to show relevant features of the model dynamics. The existence and stability of the equilibria of the model are analysed. The results of the sensitivity analysis indicate that the rate of reducing mosquito recruitment into susceptible class is the most sensitive parameter to effective reproduction number. This implies that both public health education and transgenic mosquitoes would greatly help to manage Zika Virus. Numerical simulation results indicated that Zika Fever can be eradicated if both transgenic mosquitoes and public health education interventions are properly implemented.