Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito-borne and sexually transmitted disease
- Title
- Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito-borne and sexually transmitted disease
- Creator
- Veeresha P.; Akinyemi L.; Oluwasegun K.; ?enol M.; Oduro B.
- Description
- This paper analyzes the dynamics of fractional partial differential equation (FPDE) model of Zika virus that incorporates diffusion using AtanganaBaleanu (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 AtanganaBaleanu 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. 2021 John Wiley & Sons, Ltd.
- Source
- Mathematical Methods in the Applied Sciences, Vol-45, No. 5, pp. 2994-3013.
- Date
- 2022-01-01
- Publisher
- John Wiley and Sons Ltd
- Subject
- AtanganaBaleanu (AB) derivative; diffusion; disease-free equilibrium; equilibrium; q-homotopy analysis transform method; Zika virus
- Coverage
- Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Akinyemi L., Department of Mathematics, Lafayette College, Easton, PA, United States; Oluwasegun K., Department of Mathematics, Drexel University, Philadelphia, PA, United States; ?enol M., Department of Mathematics, Nev?ehir Hac? Bekta? Veli University, Nev?ehir, Turkey; Oduro B., Department of Mathematics & Physical Sciences, California University of Pennsylvania, California, PA, United States
- Rights
- Restricted Access
- Relation
- ISSN: 1704214; CODEN: MMSCD
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Veeresha P.; Akinyemi L.; Oluwasegun K.; ?enol M.; Oduro B., “Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito-borne and sexually transmitted disease,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15151.