Spatial dynamics for epidemic models with dispersal of organisms and heterogenity of environment

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Guest Editors
Prof. Arnaud Ducrot
University of Le Havre, Le Havre, France

Prof. Shigui Ruan
Department of Mathematics, University of Miami, FL, United States

Prof. Zhi-Cheng Wang
School of Mathematics and Statistics, Lanzhou University, China

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.

Paper Submission
All manuscripts will be peer-reviewed before their acceptance for publication.
The deadline for manuscript submission is September 30, 2019

Instructions for authors
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