ABSTRACT
The COVID-19 pandemic has had a significant impact on the global population, with millions of cases and deaths reported worldwide. In this study, we use mathematical models to analyze the spread of the disease, with a focus on careless infective models. We develop and analyze mathematical models to understand the transmission dynamics of COVID-19, taking into account the impact of human behavior, such as the spread of the disease by individuals who are unaware that they are infected. Our results provide insights into the role of careless infective individuals in the spread of the disease and suggest the need for targeted interventions to reduce the impact of COVID-19 The results of this study contribute to a better understanding of the spread of COVID-19 and inform public health measures to control its transmission. © 2023 Asia Pacific Journal of Mathematics.
ABSTRACT
This study proposes a non-linear mathematical model for analysing the effect of COVID-19 dynamics on the student population in higher education institutions. The theory of positivity and boundedness of solution is used to investigate the well-posedness of the model. The disease-free equilibrium solution is examined analytically. The next-generation operator method calculates the basic reproduction number (R0). Sensitivity analyses are carried out to determine the relative importance of the model parameters in spreading COVID-19. In light of the sensitivity analysis results, the model is further extended to an optimal control problem by introducing four time-dependent control variables: personal protective measures, quarantine (or self-isolation), treatment, and management measures to mitigate the community spread of COVID-19 in the population. Simulations evaluate the effects of different combinations of the control variables in minimizing COVID-19 infection. Moreover, a cost-effectiveness analysis is conducted to ascertain the most effective and least expensive strategy for preventing and controlling the spread of COVID-19 with limited resources in the student population.
ABSTRACT
The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number R0 for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided R0 < 1 and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed. © 2022 Published by ITB Institute for Research and Community Service,.
ABSTRACT
The influence of pulsatile flow on the oscillatory motion of an incompressible conducting boundary layer mucus fluid flowing through porous media in a channel with elastic walls is inves-tigated. The oscillatory flow is treated as a cyclical time-dependent flux. The Laplace transform method using the Womersley number is used to solve non-linear equations controlling the motion through porous media under the influence of an electromagnetic field. The theoretical pulsatile flow of two liquid phase concurrent fluid streams, one kinematic and the other viscoelastic, is investi-gated in this study. To extend the model for various physiological fluids, we postulate that the vis-coelastic fluid has several distinct periods. We also apply our analytical findings to mucus and air-flow in the airways, identifying the wavelength that increases dynamic mucus permeability. The microorganism’s thickness, velocity, energy, molecular diffusion, skin friction, Nusselt number, Sherwood number, and Hartmann number are evaluated. Discussion is also supplied in various sections to investigate the mucosal flow process. © 2022 by the authors. Li-censee MDPI, Basel, Switzerland.