A mathematical model for the evolution of a host-pathogen system
| Autor: | Ewald A. Favret, Oscar M. Sorarrain, Boggio R. Rafael |
|---|---|
| Rok vydání: | 1979 |
| Předmět: |
Statistics and Probability
General Immunology and Microbiology Differential equation Applied Mathematics Numerical analysis Virulence General Medicine Expression (computer science) Biology General Biochemistry Genetics and Molecular Biology Coupled differential equations Set (abstract data type) Modeling and Simulation General Agricultural and Biological Sciences Biological system Pathogen Host (network) Algorithm |
| Zdroj: | Mathematical Biosciences. 47:1-13 |
| ISSN: | 0025-5564 |
| Popis: | A mathematical model of a particular host-pathogen system has been constructed, considering the expression for the interaction between two and four independent loci in the host and pathogen organisms, assuming a continous generation pattern for its evolution. For this pattern we have found a set of coupled differential equations corresponding to the rate of change in the genetic frequencies of the system. The differential equations have been solved using the Runge-Kutta–Gill numerical method. The solutions are discussed, analyzing the simultaneous attack of one to four virulent races. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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