Department of Mathematics, Diamond Harbour Women's University, Sarisha, West Bengal, 743368, India.
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
J Biol Phys. 2022 Dec;48(4):415-438. doi: 10.1007/s10867-022-09617-9. Epub 2022 Dec 2.
Fractional calculus is very convenient tool in modeling of an emergent infectious disease system comprising previous disease states, memory of disease patterns, profile of genetic variation etc. Significant complex behaviors of a disease system could be calibrated in a proficient manner through fractional order derivatives making the disease system more realistic than integer order model. In this study, a fractional order differential equation model is developed in micro level to gain perceptions regarding the effects of host immunological memory in dynamics of SARS-CoV-2 infection. Additionally, the possible optimal control of the infection with the help of an antiviral drug, viz. 2-DG, has been exemplified here. The fractional order optimal control would enable to employ the proper administration of the drug minimizing its systematic cost which will assist the health policy makers in generating better therapeutic measures against SARS-CoV-2 infection. Numerical simulations have advantages to visualize the dynamical effects of the immunological memory and optimal control inputs in the epidemic system.
分数微积分在建模包含先前疾病状态、疾病模式记忆、遗传变异特征等的新兴传染病系统方面是非常方便的工具。通过分数阶导数，可以以更有效的方式校准疾病系统的重要复杂行为，使疾病系统比整数阶模型更真实。在这项研究中，在微观层面上开发了一个分数阶微分方程模型，以了解宿主免疫记忆对 SARS-CoV-2 感染动力学的影响。此外，还举例说明了借助抗病毒药物 2-DG 对感染进行可能的最优控制。分数阶最优控制将能够利用药物的适当管理，最大限度地降低其系统成本，这将有助于卫生政策制定者针对 SARS-CoV-2 感染制定更好的治疗措施。数值模拟具有可视化免疫记忆和最优控制输入对传染病系统动态影响的优势。
