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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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)
Author information
Authors and Affiliations
Additional information
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
Rights and permissions
About this article
Cite this article
Dietz, K. Epidemiologic interference of virus populations. J. Math. Biology 8, 291–300 (1979). https://doi.org/10.1007/BF00276314
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00276314