The spatial spread and final size of the deterministic non-reducible n- type epidemic

DOI10.1007/BF00277102zbMath0539.92028OpenAlexW2072814410WikidataQ30413018 ScholiaQ30413018MaRDI QIDQ794573

N. E. Zubov

Publication date: 1984

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277102

zbMATH Keywords

asymptotic statesmeaslesfinal sizeexistence and uniqueness resultspatial spreadrabieshost-vectorcarrier-bornenon-reducible n-type epidemicpandemic theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Population dynamics (general) (92D25)

Related Items (8)

The asymptotic speed of propagation of the deterministic non-reducible n- type epidemic ⋮ Diffusion epidemic models with incubation and crisscross dynamics ⋮ Generality of endemic prevalence formulae ⋮ Biological growth and spread modeled by systems of recursions. II: Biological theory ⋮ Pandemic bounds for an epidemic on an infinite lattice ⋮ The derivation of certain pandemic bounds ⋮ The asymptotic behavior of a reducible system of nonlinear integral equations ⋮ The asymptotic final size distribution of reducible multitype Reed-Frost processes

Cites Work

• Wave solutions for the deterministic non-reducible n-type epidemic
• Thresholds and travelling waves for the geographical spread of infection
• A model for the spatial spread of an epidemic
• Studies on a convolution inequality
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