Spatial dynamics of a reaction-diffusion SIS epidemic model with mass-action-type nonlinearity

DOI10.1142/s1793524523500341zbMath1541.35521MaRDI QIDQ6542969

Xue-Zhong Wang, Ren-Hu Wang

Publication date: 23 May 2024

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

discretizationglobal stabilityLyapunov functionalbasic reproduction numberspatial heterogeneity

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Monotone flows as dynamical systems (37C65)

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