2017•International Journal of Differential Equations and ApplicationsOpen access

GLOBAL STABILITY OF A DELAYED SIR EPIDEMIC MODEL WITH DIFFUSION

Kaori Saito, Toshiyuki Kohno, Yoshihiro Hamaya

Abstract

Some mathematical epidemic equation with diffusion, which appearsas a model for the spread of disease-causing, is treated. The permanenceand global asymptotic properties of the diffusive equation is studied by applyingthe strong maximum principle and luxury Liapunov functionals.

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Key concepts: Mathematics, Epidemic model, Stability (learning theory), Diffusion, Exponential stability, Applied mathematics, Diffusion equation, Epidemic disease