Analyzing Disease Detection Dynamics with Nano Biosensors: an Analytical Approach Using the Homotopy Perturbation Method

This study is necessary for early and accurate detection of infectious diseases including tuberculosis, cholera, and COVID-19 using nano biosensors. The paper primarily models and analyzes the detection dynamics among the circulating human population divided into susceptible, exposed, infected, detected, and recovered compartments. The detection dynamics are ruled by a system of nonlinear differential equations that will be solved analytically using the HPM to obtain the numerical solution. Graphical representations are used to explain the detection process and show how nano biosensors play a role in identifying and mitigating disease spread. The import of this work lies in the advancement of understanding the detection mechanisms of disease and providing a framework for improving performance in biosensors. The outcome reveals that applying HPM is feasible for modeling diseases, and discussions have identified some of the advantages of this method compared to other mathematical ones, which could be further used in simulation-based comparisons towards validation and optimization.