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DISEASE TRANSMISSION MSEIR MODEL WITH INDIVIDUALS TRAVELING BETWEEN PATCHES i AND i + 1
Chaharborj, Sarkhosh Seddighi,Bakar, Mohd Rizam Abu,Ebadian, Alli The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic reproductive number, $R_0$, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary differential equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if $R_0$ < 1 and unstable if $R_0$ > 1.
DISEASE TRANSMISSION MSEIR MODEL WITH INDIVIDUALS TRAVELING BETWEEN PATCHES i AND i + 1
Sarkhosh Seddighi,Mohd Rizam Abu Bakar,Alli Ebadian 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic repro-ductive number, R0, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary di®eren-tial equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if R0 < 1 and unstable if R0 > 1.