Summary
There are a few simulation studies for interference models in the literature but the present paper discusses an analytical model for the competition of two interfering virus populations in a community. The mathematical model consist of eight coupled differential equations which have up to four equilibrium points. Criteria for local stability are given.
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References
Bailey, N. T. J.: The Mathematical Theory of Infectious Diseases and its Applications. (2nd edn.) London and High Wycombe: Griffin, (1975)
Bang, F. B.: Epidemiological Interference. Intern. J. Epidemiology 4, 337–342 (1975)
Dietz, K..: The incidence of infectious diseases under the influence of seasonal fluctuations. Lecture Notes in Biomathematics 11, 1–15 (1976)
Elveback, L., Ackerman, E., Gatewood, L., Fox, J. P.: Stochastic two-agent epidemic simulation models for a community of families. Amer. J. Epidem. 93, 267–80 (1971)
Elveback, L., Ackerman, E., Young, G., Fox, J. P. (1968): A stochastic model for competition between viral agents in the presence of interference. 1: Live virus vaccine in a randomly mixing population, model III. Amer. J. Epidem. 87, 373–84 (1968)
Elveback, L., Fox, J. P., Varma, A.: An extension of the Reed-Frost epidemic model for the study of competition between viral agents in the presence of interference. Amer. J. Hyg. 80, 356–64 (1964)
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This paper has been read at the workshop on Nonlinear Models in Biology and Medicine, 23rd Biometric Colloquium, German Region of the Biometric Society, Nuremberg, March 1977
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Dietz, K. Epidemiologic interference of virus populations. J. Math. Biology 8, 291–300 (1979). https://doi.org/10.1007/BF00276314
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DOI: https://doi.org/10.1007/BF00276314