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Steady-state analysis of a continuum model for super-infection



Steady-state analysis of a continuum model for super-infection



Journal of Mathematical Biology 59(3): 415-438



A large system of N strains of parasite and a single host is analyzed as a function of the degree of virulence in the strains when there is super-infection between hosts (more virulent strains can infect hosts that are already infected) and within-host transition between strains that is neutral. When this small amount of local switching is allowed, steady-state solutions converge to a continuous distribution as the number of strains increases. The resulting nonlinear-nonautonomous integro-differential equation is reduced to a fourth order boundary value problem (BVP) and the existence of positive solutions is proven. The methods here and associated BVP allow for a thorough exploration of parameter space for this class of models.

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Accession: 055916472

Download citation: RISBibTeXText

PMID: 19002687

DOI: 10.1007/s00285-008-0232-9


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