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• W3217534080 abstract "<abstract><p>Reaction-diffusion equations have been used to describe the dynamical behavior of epidemic models, where the spreading of infectious disease has the same speed in every direction. A natural question is how to describe the dynamical system when the spreading of infectious disease is directed diffusion. We introduce the road diffusion into a Ross epidemic model which describes the spread of infected Mosquitoes and humans. With the comparison principle the system is proved to have a unique global solution. By the approach of upper and lower solutions, we show that the disease-free equilibrium is asymptotically stable if the basic reproduction number is lower than 1 while the endemic equilibrium asymptotically stable if the basic reproduction number is greater than 1.</p></abstract>" @default.
• W3217534080 created "2021-12-06" @default.
• W3217534080 creator A5060350778 @default.
• W3217534080 creator A5087144043 @default.
• W3217534080 date "2021-01-01" @default.
• W3217534080 modified "2023-10-16" @default.
• W3217534080 title "Stability in a Ross epidemic model with road diffusion" @default.
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• W3217534080 doi "https://doi.org/10.3934/math.2022157" @default.
• W3217534080 hasPublicationYear "2021" @default.
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