Olayiwola Morufu Oyedunsi, Yunus Akeem Olarewaju, Ismaila Adedapo, Adedeji Joseph Adeleke
Department of Mathematical Sciences, Faculty of Basic & Applied Sciences, Osun State University, Osogbo, Nigeria.
BMC Res Notes. 2025 Apr 30;18(1):201. doi: 10.1186/s13104-025-07252-w.
Chikungunya fever continues to spread worldwide due to its asymptomatic nature and lack of a specific treatment. A mathematical model using the Caputo fractional order derivative is developed to study the interactions between host defense cells and Chikungunya viral particles in this research. The model's solution existence, uniqueness, and positivity are analyzed. The disease-free state threshold and Hyers-Ulam stability are established.
The basic reproductive number , depict a high replication rate of the virus, indicating an increased infectiousness of uninfected cells. Sensitivity analysis shows that the invasion rate of susceptible monocytes increases spread, while antigenic immune response keeps below 1. The Laplace Adomian Decomposition Method (LADM) is used to solve the model. Experimental outcomes suggest that the enhanced adaptive immune response, potentially influenced by nutritional support or medication, exhibits a more pronounced hysteresis effect. We observed that viral particles are cleared approximately three (3) days earlier before cell infection, potentially clearing the virus within a week. This insight could accelerate elimination of viral particles and expedite virus clearance.
基孔肯雅热因其无症状特性且缺乏特效治疗方法，继续在全球范围内传播。本研究开发了一个使用卡普托分数阶导数的数学模型，以研究宿主防御细胞与基孔肯雅病毒颗粒之间的相互作用。分析了该模型解的存在性、唯一性和正性。确定了无病状态阈值和赫尔斯 - 乌拉姆稳定性。
基本再生数 ，表明病毒具有高复制率，这意味着未感染细胞的传染性增加。敏感性分析表明，易感单核细胞的侵袭率增加会导致传播加剧，而抗原免疫反应会使 低于1。使用拉普拉斯 - 阿多米安分解法（LADM）求解该模型。实验结果表明，可能受营养支持或药物影响的增强的适应性免疫反应表现出更明显的滞后效应。我们观察到，病毒颗粒在细胞感染前约三（3）天被清除，有可能在一周内清除病毒。这一见解可加速病毒颗粒的清除并加快病毒清除速度。
