Numerical simulations of spread of rabies in a spatially distributed fox population
| Autor: | Zdzislaw Jackiewicz, Horst R. Thieme, Khalaf M. Alanazi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
education.field_of_study Exponential distribution General Computer Science Discretization Applied Mathematics Method of lines Population 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Integral equation Theoretical Computer Science Variable (computer science) Trapezoidal rule (differential equations) Modeling and Simulation 0202 electrical engineering electronic engineering information engineering Applied mathematics Partial derivative 020201 artificial intelligence & image processing 0101 mathematics education Mathematics |
| Zdroj: | Mathematics and Computers in Simulation. 159:161-182 |
| ISSN: | 0378-4754 |
| Popis: | We describe a numerical algorithm for the simulation of the spread of rabies in a spatially distributed fox population. The model considers both territorial and wandering rabid foxes and includes a latent period for the infection. The resulting systems are mixtures of partial differential and integral equations. They are discretized in the space variable by central differences of second order and by the composite trapezoidal rule. In a second step, they are discretized in time by explicit continuous Runge–Kutta methods of fourth order for ordinary and delay differential systems. The results of the numerical calculations are compared for latent periods of fixed and exponentially distributed length and for various proportions of territorial and wandering rabid foxes. The speeds of spread observed in the simulations are compared to spreading speeds obtained by analytic methods and to observed speeds of epizootic frontlines in the European rabies outbreak 1940 to 1980. |
| Databáze: | OpenAIRE |
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