Fantaye Abayneh Kebede, Birhanu Zerihun Kinfe
Debre Tabor University, Department of Mathematics, Ethiopia.
Hawassa University, Department of Mathematics, Ethiopia.
Heliyon. 2023 Jun 5;9(6):e16877. doi: 10.1016/j.heliyon.2023.e16877. eCollection 2023 Jun.
In this study, we examine the Atangana Baleanu Caputo fractional order for the transmission dynamics of the Cotton Leaf Curl Virus disease. The model took into account both cotton plants and vector populations. The existence and uniqueness, positivity and boundedness of the solution to the model, as well as other fundamental concepts, were examined. Additionally, the Ulam-Hyres condition stability of the suggested model was demonstrated using functional techniques. Using the Adams-Bashforth method, the numerical solution for our suggested model was computed. The numerical result shows that the disease spreads more slowly as the fractional order decreases from 1.00 to 0.72.
在本研究中，我们研究了阿坦加纳-巴莱努-卡普托分数阶在棉花卷叶病毒病传播动力学中的应用。该模型考虑了棉花植株和媒介种群。研究了该模型解的存在唯一性、正性和有界性以及其他基本概念。此外，还使用泛函技术证明了所提出模型的乌拉姆-海尔斯条件稳定性。使用亚当斯-巴什福思方法计算了所提出模型的数值解。数值结果表明，随着分数阶从1.00降至0.72，疾病传播得更慢。
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