The asymptotic behavior of a reducible system of nonlinear integral equations

DOI10.1216/RMJM/1181072082zbMath0885.92028OpenAlexW2056257761MaRDI QIDQ1815513

Yanyan Li

Publication date: 12 November 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

speed of propagationspatial spreadrabiesreducible systemspandemic theorem\(n\)-type epidemicsapproximate saddle point method

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Medical epidemiology (92C60)

Related Items (2)

Discrete time spatial models arising in genetics, evolutionary game theory, and branching processes ⋮ The derivation of certain pandemic bounds

Cites Work

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• Wave solutions for the deterministic non-reducible n-type epidemic
• The spatial spread and final size of the deterministic non-reducible n- type epidemic
• Saddle point approximations in n-type epidemics and contact birth processes
• The asymptotic speed of propagation of the deterministic non-reducible n- type epidemic
• Run for your life. A note on the asymptotic speed of propagation of an epidemic
• Multidimensional nonlinear diffusion arising in population genetics
• Reducible epidemics: Choosing your saddle
• Thresholds and travelling waves in an epidemic model for rabies
• Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
• Some comparison results for multitype epidemic models

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