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Dynamics of Dengue with human and vector mobility

Dengue is a vector borne disease transmitted to humans by {\it{Aedes Aegypti}} mosquitoes carrying Dengue virus of different serotypes. Primarily an urban epidemic, Dengue exhibits complex spatial and temporal dynamics, influenced by many biological, human and environmental factors. In this work, we study the Dengue spread for a single serotype including human mobility. We model the Dengue spreading by using PDE reaction-diffusion and stochastic Cellular Automata (CA) with human and vector dynamics and analyze the spatial and temporal spreading of the disease using parameters from field studies. Mosquito density data from Ahmedabad city serves as a proxy for climate data to our model. We predict the dynamics of Dengue incidence and compare it to the reported data on the prevalence of the disease from 2006-2012. We find that for certain infection rates, CA model closely reproduces observed peaks and intensity. We have used statistical model of human mobility with exponential step length distribution to study mobility effects on Dengue spreading within the city. We find an interesting result that although human mobility makes the infection spread faster, there is an apparent early suppression of the epidemic compared to immobile humans. The primary reason for decline is that mobility causes secondary and tertiary waves of infected individuals who recover in short time span and act as a barricade for the primary wave.

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