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Epidemic dynamics in a heterogeneous incompletely isolated population with allowance for seasonal variations in the infection rate

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Abstract

Mathematical parasite-host models are generalized to the case when the population members differ in susceptibility and contagiousness, there is an external source of infection, and the model parameters depend periodically (seasonally) on time. The model is proved to have a periodic solution that is unique and exponentially stable for sufficiently small periodic oscillations of the coefficients.

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Authors and Affiliations

  1. Moscow Medical Academy, ul. Trubetskaya 8, str. 2, Moscow, 119991, Russia

    A. I. Gerasimov

  2. Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    V. N. Razzhevaikin

Authors
  1. A. I. Gerasimov
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  2. V. N. Razzhevaikin
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Corresponding author

Correspondence to A. I. Gerasimov.

Additional information

Original Russian Text © A.I. Gerasimov, V.N. Razzhevaikin, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 8, pp. 1488–1499.

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Gerasimov, A.I., Razzhevaikin, V.N. Epidemic dynamics in a heterogeneous incompletely isolated population with allowance for seasonal variations in the infection rate. Comput. Math. and Math. Phys. 48, 1406–1417 (2008). https://doi.org/10.1134/S0965542508080101

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  • DOI: https://doi.org/10.1134/S0965542508080101

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