Article detail · 2022
Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito borne and sexually transmitted disease
- Year
- 2022
- DOI
- 10.1002/mma.7973
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Mathematical Methods in the Applied Sciences
- Catalog match (ISSN) Mathematical Methods in the Applied Sciences
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
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.
Topics
Citations
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26 citations
OpenAlex cited_by_count (cache / database)
3 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- New analytical and numerical solutions to the (2+1)-dimensional conformable cpKP–BKP equation arising in fluid dynamics, plasma physics, and nonlinear optics 2024
- The global stability investigation of the mathematical design of a fractional-order HBV infection 2022
- Exponential-Time-Differencing Method for the Solution of Diffusive HIV-I Model 2023