Dispersive models describing mosquitoes' population dynamics

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Yamashita, W.M.S.^1 ; Takahashi, L.T.^1 ; Chapiro, G.^1

Universidade Federal de Juiz de Fora, Juiz de Fora

MG

36036-900, Brazil^1

关键词: Dispersive models;    Environmental conditions;    Finite difference scheme;    Mosquito populations;    Nonlinear mathematical model;    Numerical integrations;    Semi-analytical methods;    Traveling wave solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012065/pdf
DOI  :  10.1088/1742-6596/738/1/012065

来源: IOP

【 摘 要 】

The global incidences of dengue and, more recently, zica virus have increased the interest in studying and understanding the mosquito population dynamics. Understanding this dynamics is important for public health in countries where climatic and environmental conditions are favorable for the propagation of these diseases. This work is based on the study of nonlinear mathematical models dealing with the life cycle of the dengue mosquito using partial differential equations. We investigate the existence of traveling wave solutions using semi-analytical method combining dynamical systems techniques and numerical integration. Obtained solutions are validated through numerical simulations using finite difference schemes.