Work

Pulsating waves in a multidimensional reaction-diffusion system of epidemic type

Year: 2024

Type: article

Abstract: In this work we investigate the existence of front propagation for a two-component reaction -diffusion system of epidemic type posed in a multi-dimensional periodic medium. This system is a spatially heterogeneous version of the well-known Kermack–McKendrick epidemic model with Fickian diffusion. We derive sufficient conditions for the existence of pulsating travelling waves propagating in an arbitrarily given unit direction. Specifically, we prove that the set of admissible wave speeds contains a semi-infinite interval. Then, for each direction of propagation and each admissible speed, there exists a pulsating travelling wave solution of the system which is globally bounded.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1511

Authors: Liangliang Deng, Arnaud Ducrot

Institutions: Lanzhou University, Université Le Havre Normandie

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funders: Agence Nationale de la Recherche, National Natural Science Foundation of China, China Scholarship Council, Région Normandie

Awards: Genetic architecture of quantitative traits in plant-virus interactions: Consequences for the management of resistant and/or tolerant varieties at the landscape scale., G4656594441, G5601576990, G921059048