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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 8, Pages 1488–1499 (Mi zvmmf129)  
This article is cited in 6 scientific papers (total in 6 papers)

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

A. N. Gerasimova, V. N. Razzhevaikinb

a Moscow Medical Academy, ul. Trubetskaya 8, str. 2, Moscow, 119991, Russia
b Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (1763 kB) Citations (6)
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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.
Key words: parasite-host system of differential equations, solution existence and uniqueness, exponential stability of the solution.
Received: 22.05.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 8, Pages 1406–1417
DOI: https://doi.org/10.1134/S0965542508080101
Bibliographic databases:
Document Type: Article
UDC: 519.677
Language: Russian
Citation: A. N. Gerasimov, V. N. Razzhevaikin, “Epidemic dynamics in a heterogeneous incompletely isolated population with allowance for seasonal variations in the infection rate”, Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008), 1488–1499; Comput. Math. Math. Phys., 48:8 (2008), 1406–1417
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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