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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense
Chaos, Solitons and Fractals, Volume 158, Article 112067, Year 2022
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Description
In this article, we study the dynamics of a Maize streak virus (MSV) epidemic model by using the Caputo fractional derivative. Firstly, we define the dynamics of the given fractional-order model by checking the non-negativity and boundedness of the solution, stability of disease-free equilibrium, the existence of a unique solution, and its stability. Then we derive the numerical solution of the proposed model by using an optimized Predictor-Corrector method, which has not yet been applied to solve any kind of epidemic system until now. Our optimized method uses a linear approximation of the proposed nonlinear model to ameliorate the competence of the Predictor-Corrector schemes. To verify the correctness of our results, we plot various graphs by taking different parameter cases at various fractional-order values. Also, Caputo outputs are compared with Atangana-Baleanu-Caputo derivative outputs. Our research shows the usefulness of the proposed optimized Predictor-Corrector method in epidemic studies and for simulating the memory effects in the given MSV system. The solution methodology of the proposed system is the main novelty of this research along with other supporting analyses. © 2022 Elsevier Ltd
Authors & Co-Authors
Kumar, Pushpendra
India, Puducherry
National Institute of Technology Puducherry
Ertürk, Vedat Suat
Turkey, Samsun
Ondokuz Mayis Üniversitesi
Vellappandi, Madasamy
India, Puducherry
National Institute of Technology Puducherry
Govindaraj, Venkatesan
India, Puducherry
National Institute of Technology Puducherry
Statistics
Citations: 21
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1016/j.chaos.2022.112067
ISSN:
09600779