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3: Free Interacting Metapopulation Dynamics in Absence of Dis- ease.  

3: Free Interacting Metapopulation Dynamics in Absence of Dis- ease.  

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Many mathematical models for the spread of infectious diseases in a population assume homogeneous mixing, but due to spatial distribution , there exist distinct patches with unique disease dispersion dynamics, especially if between patch mixing due to travel and migration is limited. In this paper, three levels of disease status in a í µí±›-patch m...

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We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity. In the absence of cross-immunity between strains, dynamics of each individual strain exhibits emergence and anni- hilation of limit cycles due to a Hopf bifurcation of the endemic equilibrium, and a saddle-node bifurcation of limit cycles depending on th...