The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity

DOI10.1016/J.NAHS.2011.05.008zbMath1235.93229OpenAlexW2108075124MaRDI QIDQ665125

Quan-Xing Liu, Rong-Hua Wang, Zhen Jin

Publication date: 5 March 2012

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2011.05.008

zbMATH Keywords

multi-strainmean-field modelcross-immunityimproved pair approximationpathogen modelspatial host

Mathematics Subject Classification ID

Stochastic systems in control theory (general) (93E03)

Cites Work

• Modelling disease spread through random and regular contacts in clustered populations
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• Spatially extended host-parasite interactions: the role of recovery and immunity
• Dependent random graphs and spatial epidemics
• Pathogen invasion and host extinction in lattice structured populations
• The effect of cross-immunity and seasonal forcing in a multi-strain epidemic model
• The dynamics of cocirculating influenza strains conferring partial cross-immunity
• Population persistence and spatially limited social interaction
• Pair approximations and the inclusion of indirect transmission: theory and application to between farm transmission of \textit{Salmonella}
• The role of trade-off shapes in the evolution of parasites in spatial host populations: an approximate analytical approach
• The spread of infectious diseases in spatially structured populations: an invasory pair approxi\-ma\-tion
• PHASE DIAGRAMS AND CORRELATION INEQUALITIES OF A THREE-STATE STOCHASTIC EPIDEMIC MODEL ON THE SQUARE LATTICE

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