数学
独特性
分数阶微积分
流行病模型
不动点定理
应用数学
非线性系统
人口
传输(电信)
偏微分方程
数学分析
人口学
物理
计算机科学
社会学
电信
量子力学
作者
Pundikala Veeresha,Lanre Akinyemi,Kayode Oluwasegun,Mehmet Şenol,Bismark Oduro
摘要
This paper analyzes the dynamics of fractional partial differential equation (FPDE) model of Zika virus that incorporates diffusion using Atangana–Baleanu (AB) fractional derivative. Zika virus disease is an infection transmitted predominantly by the bite of an infected Aedes species mosquito and may be a severe epidemic if not contained in its premature stages. The q-homotopy analysis transform method is employed to analyze and compute the solutions for this nonlinear partial differential model, and the fractional derivative is defined in Atangana–Baleanu sense. We determine some new approximate numerical results for different values of parameters of alpha. Numerical models focused on various distributions of the population help to explain how the spread of humans and mosquitoes influences the disease's transmission. With the utilization fixed-point hypothesis, the existence and uniqueness of the solutions obtained for the proposed model are presented.
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