Manuscript Topics

Mathematical models with spatial effects (spatially heterogeneous habitat, spatial-temporal movement of organisms) have become significant and more efficient implements in exploring the geographic spread and control of infectious diseases. A basic and important epidemiological issue corresponding to the transmission of infectious disease is the so-called persistence of disease, which describes the long-term behavior of disease evolution. In particular, modeling spatial spread of specific infectious disease such as Malaria, Dengue, Zika, West Nile virus, Lyme disease etc, can help in predicting such diseases prevalence and providing efficient control strategies and insights, which has important implications for public health issues and epidemiology.

This special issue will devote to spatial dynamics of epidemic models involved with the movement and dispersal of organisms and heterogenity of habitat environment. The contribution work should be much more relevant for spatial spread dynamics of infectious diseases, in which novel mathematical epidemic modeling and/or theoretical analysis (such as asymptotic spread theory, traveling waves, persistence theory, pattern formation, free boundary problem etc.) based on reaction-diffusion equations, lattice differential equations, integro-differential equations, integro-difference equations and so on.

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