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Numerical Solution of a Model of Influenza with Two Strains

The epidemiological models with age structure, proportionate mixing, and cross-immunity which have been studied by Castillo Chavez et al. (1989). The removal of age-structure from the two strain models led to damped oscillations. Numerical simulations of a discrete version gave rise to sustained oscillators provided that age structure, two co-circulating viral strains, and cross-immunity was included. The hypothesis that the interaction between cross-immunity and age dependent survivorship may be enough to drive sustained oscillations. In this paper we simulate the continuous time version of this model using an algorithm based on the finite difference method used by Milner et al. (1993). The numerical scheme is proved to converge.

Article Number:
BU-1516-M

Year:
1999

Authors:
Elmer de la Pava-Salgado, Corporación Universitaria Autónoma de Occidente- Cali, Colombia

numerical_solutions_of_a_model_of_influenza_with_two_strains_age_structured_and_cross_immunity.pdf