Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito‐borne and sexually transmitted disease

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.

• Publication year

  2021

• Venue

  Mathematical methods in the applied sciences

• Publication date

  2021-11-23

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1002/mma.7973
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Analytical Study of $$(3+1)$$-Dimensional Fractional-Reaction Diffusion Trimolecular Models

  2021cited by this paper
• Analytical Study of $$(3+1)$$ ( 3 + 1 ) -Dimensional Fractional-Reaction

  2021cited by this paper
• Classes of operators in fractional calculus: A case study

  2021cited by this paper
• A POWERFUL ITERATIVE APPROACH FOR QUINTIC COMPLEX GINZBURG–LANDAU EQUATION WITHIN THE FRAME OF FRACTIONAL OPERATOR

  2021cited by this paper
• Analysis and solutions of generalized Chagas vectors re-infestation model of fractional order type

  2021cited by this paper
• Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator

  2021cited by this paper
• SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels

  2021cited by this paper
• Numerical simulation for coupled nonlinear Schrödinger–Korteweg–de Vries and Maccari systems of equations

  2021cited by this paper
• Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

  2021cited by this paper
• Strong Interacting Internal Waves in Rotating Ocean: Novel Fractional Approach

  2021cited by this paper
• Fractional approach for analysis of the model describing wind-influenced projectile motion

  2021cited by this paper
• A fractional order approach to modeling and simulations of the novel COVID-19

  2020cited by this paper
• Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform

  2020cited by this paper
• Analytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation

  2020cited by this paper
• A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations

  2020cited by this paper
• A powerful approach to study the new modified coupled Korteweg-de Vries system

  2020cited by this paper
• Zika virus-spread, epidemiology, genome, transmission cycle, clinical manifestation, associated challenges, vaccine and antiviral drug development.

  2020cited by this paper
• Novel approach for modified forms of Camassa–Holm and Degasperis–Procesi equations using fractional operator

  2020cited by this paper
• Analysis of the fractional tumour-immune-vitamins model with Mittag–Leffler kernel

  2020cited by this paper
• A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction

  2020cited by this paper
• q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations

  2019cited by this paper
• Mathematical modelling of Zika virus as a mosquito-borne and sexually transmitted disease with diffusion effects

  2019cited by this paper
• Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative

  2019cited by this paper
• A novel technique for (2+1)-dimensional time-fractional coupled Burgers equations

  2019cited by this paper
• Solitons in conformable time-fractional Wu–Zhang system arising in coastal design

  2019cited by this paper
• Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation

  2019cited by this paper
• New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives.

  2019cited by this paper
• Mathematical model of zika virus dynamics with vector control and sensitivity analysis

  2019cited by this paper
• Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

  2019influential reference
• An overview of mosquito vectors of Zika virus.

  2018cited by this paper
• Zika Virus: A Review of Literature

  2018cited by this paper
• A mathematical model for Zika virus transmission dynamics with a time-dependent mosquito biting rate

  2018cited by this paper
• Numerical Solution of Fractional Order Epidemic Model of a Vector Born Disease by Laplace Adomian Decomposition Method

  2017cited by this paper
• A theoretical model for Zika virus transmission

  2017cited by this paper
• Macaque monkeys in Zika virus research: 1947-present.

  2017influential reference
• History and Emergence of Zika Virus

  2017cited by this paper
• Epidemiology of Zika Virus Infection

  2017cited by this paper
• Mathematical model for Zika virus dynamics with sexual transmission route

  2017cited by this paper
• An efficient analytical technique for fractional model of vibration equation

  2017cited by this paper
• A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems

  2017cited by this paper
• A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves

  2017cited by this paper
• First published report of Zika virus infection in people: Simpson, not MacNamara.

  2017cited by this paper
• Model-based projections of Zika virus infections in childbearing women in the Americas

  2016cited by this paper
• Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahn model

  2016cited by this paper
• Mathematical modeling of Zika virus

  2016cited by this paper
• Acute myelitis due to Zika virus infection.

  2016cited by this paper
• Zika - Global Concern.

  2016cited by this paper
• A mathematical model of Zika virus and its optimal control

  2016cited by this paper
• Transmission Dynamics of Zika Virus in Island Populations: A Modelling Analysis of the 2013–14 French Polynesia Outbreak

  2016cited by this paper
• Zika Virus Infection Associated With Severe Thrombocytopenia.

  2016cited by this paper
• Zika virus: History, emergence, biology, and prospects for control.

  2016cited by this paper
• Zika Virus: New Clinical Syndromes and Its Emergence in the Western Hemisphere

  2016cited by this paper
• Prevention and Control of Zika as a Mosquito-Borne and Sexually Transmitted Disease: A Mathematical Modeling Analysis

  2016cited by this paper
• Epidemiology, Driving Factors, Transmission and Control Options of Zika Virus: A Review

  2016cited by this paper
• On the Perturbation–Iteration Algorithm for fractional differential equations

  2016cited by this paper
• New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model

  2016cited by this paper
• A fractional diffusion equation model for cancer tumor

  2014cited by this paper
• Series Solution of Fuzzy Differential Equations under Strongly Generalized Differentiability

  2013cited by this paper
• On Convergence of q-Homotopy Analysis Method

  2013cited by this paper
• Presentation of Malaria Epidemics Using Multiple Optimal Controls

  2012cited by this paper
• Optimal control of vector-borne diseases: Treatment and prevention

  2009cited by this paper
• Zika Virus Outside Africa

  2009cited by this paper
• Solution of fractional differential equations by using differential transform method

  2007cited by this paper
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

  2005cited by this paper
• Homotopy perturbation technique

  1999cited by this paper
• Solving Frontier Problems of Physics: The Decomposition Method

  1993cited by this paper

• A numerical study on the dynamics of SIR epidemic model through Genocchi wavelet collocation method

  2025cites this paper
• Exploration of soliton solutions and modulation instability analysis for cold bosonic atoms in a zig-zag optical lattice in quantum physics

  2025cites this paper
• A fractional mathematical examination on breast cancer progression for the healthcare system of Jordan

  2025cites this paper
• Advanced semi-analytical techniques for the q-fractional Ivancevic option pricing model

  2025cites this paper
• Modeling and computational study of cancer treatment with radiotherapy using real data

  2025cites this paper
• Exploring Zika's dynamics: A scoping review journey from epidemic to equations through mathematical modelling

  2024cites this paper
• A robust regime via Sumudu HPM for Schrödinger equation in different dimensions

  2024cites this paper
• Stochastic Performances of the Mathematical System Based on the Prevalence Prediction of Allergies

  2024cites this paper
• Computational investigation of stochastic Zika virus optimal control model using Legendre spectral method

  2024cites this paper
• New analytical and numerical solutions to the (2+1)-dimensional conformable cpKP–BKP equation arising in fluid dynamics, plasma physics, and nonlinear optics

  2023cites this paper
• Modeling the impact of public health education on tungiasis dynamics with saturated treatment: Insight through the Caputo fractional derivative.

  2023cites this paper
• New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique

  2023cites this paper
• A fractional modeling approach of Buruli ulcer in Possum mammals

  2023cites this paper
• Fractional calculus in mathematical oncology

  2023cites this paper
• New generalized integral transform on Hilfer–Prabhakar fractional derivatives and its applications

  2023cites this paper
• A study on fractional order infectious chronic wasting disease model in deers

  2023cites this paper
• Shehu Integral Transform and Hyers-Ulam Stability of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si45.svg"><mml:msup><mml:mi>n</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:msup></mml:math> order Linear Differential Equations

  2022cites this paper
• Fractional study of a novel hyper-chaotic model involving single non-linearity

  2022cites this paper
• The global stability investigation of the mathematical design of a fractional-order HBV infection

  2022cites this paper
• Dynamics of Fractional Model of Biological Pest Control in Tea Plants with Beddington–DeAngelis Functional Response

  2021cites this paper