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In the present paper, we study the dynamics of a nine compartmentalvector-host model for Zika virus infection where the predatory fish GambusiaAffinis is introduced into the system to control the zika infection by preyingon the vector. The system has six practically feasible equilibrium points wherefour of them are disease-free, and the rest are endemic. We discuss theexistence and stability conditions for the equilibria. We find that when sexualtransmission of zika comes to a halt then in absence of mosquitoes infectioncannot persist. Hence, one needs to eradicate mosquitoes to eradicateinfection. Moreover, we deduce that in the case of zika infection pushing thebasic reproduction number below unity is next to impossible. Therefore, O_0,the mosquito survival threshold parameter, and O, the mosquito survivalthreshold parameter with predation play a crucial role in getting rid of theinfection in respective cases since mosquitoes cannot survive when these areless than unity. Sensitivity analysis shows the importance of reducing mosquitobiting rate and mutual contact rates between vector and host. It exhibits theimportance of increasing the natural mortality rate of vectors to reduce thebasic reproduction number. Numerical simulation shows that when the basicreproduction number is close but greater than unity, the introduction of asmall amount of predatory fish Gambusia Affinis can completely swipe off theinfection. In case of high transmission or high basic reproduction number, thisfish increases the susceptible human population and keeps the infection undercontrol, hence, prohibiting it from becoming an epidemic.

Nonlinear Dynamic analysis of vector-host model for Zika infection with predatory fish Gambusia Affinis