For citation:
Koronovskii A. A. About one model of epidemic spread. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 1, pp. 40-48.
About one model of epidemic spread
The work deals with the model of the disease spread, having long incubation period, transmitting during the contact between the sick and the healthy people on condition that people are not immune against the disease. The equation, describing the process of epidemic spread in time and in space, has been obtained and it has been shown that in certain conditions it can be reduced to Abel differential equation of the second kind. The figures, illustrating the distribution of the family of isoclines for the equation mentioned and the figures, demonstrating the behaviour of the integral curves at different parameter values, are shown. The possibility оf travelling epidemic waves transmission, including the shock waves, has been established.
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