Stability and numerical study of theoretical model of Zika virus transmission
| Autor: | Omar Belhamiti, Maghnia Hamou Maamar, Leila Bouzid, Fethi Bin Muhammad Belgacem |
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| Rok vydání: | 2020 |
| Předmět: |
Zika virus disease
Numerical Analysis Differential equation Applied Mathematics Biology medicine.disease biology.organism_classification Stability (probability) law.invention Zika virus Transmission (mechanics) Equilibrium stability law Stability theory Modeling and Simulation medicine Applied mathematics |
| Zdroj: | International Journal of Mathematical Modelling and Numerical Optimisation. 10:141 |
| ISSN: | 2040-3615 2040-3607 |
| Popis: | In this paper, we examine the Zika virus transmission for human and mosquito populations. At the first time, a compartment model based on two populations, humans and mosquitoes, are proposed and analysed quantitatively using the stability theory of the differential equations. In the second time, a non-human primate (monkey) is considered, we prove the influence of this second reservoir host on the spread of the disease. Numerical simulation of the models is implemented to investigate the effect of certain key parameters on the transmission of Zika virus. |
| Databáze: | OpenAIRE |
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