On the Effect of Host Migration in Host-Vector Transmission

Abstract

Host-vector transmission is challenging to model, due to human and environmental factors influence complexity. The effect of human mobility on the dispersion of vector-borne diseases is studied here. The effect of human mobility among two-patches will be investigated through a host-vector model with a standard incidence rate and constant mobility rate of humans between both patches. If all hosts could migrate between patches, this model gives us a disease-free equilibrium and a co-endemic equilibrium. The basic reproduction number, R0 carried out as a threshold classifying the dynamics of the models when all hosts could migrate. We also consider a scenario if only unidirectional of infected host occurs which shows up a trans-critical bifurcation. The infected migration rate becomes an important parameter to change the co-endemic behavior to be a disease-free condition. Another scenario implement was a migration of healthy host only which shows that the basic reproduction ratio,  not the only threshold for co-endemic equilibria existence. The analytical results also show that increasing healthy host migration from patch  to  may be a helpful control strategy for disease management in patch . The host migration can also turn out to be one of the driving forces to the disease dispersal for some specific conditions.

Keywords: Host-vector; host migration; basic reproduction number