Mathematical Model of COVID-19 Transmission Dynamics with Double Dose Vaccination

Abstract This research attempted to investigate the effects of double dose vaccination in a non-linear mathematical model of Covid-19 infections with special compartments class termed first and second dose vaccination. The basic reproduction number was obtained, the stability of the model was analyzed, and the sensitivity analysis was also carried out. Of interest is the numerical simulation of the model where the impacts of contact rate, first and second dose vaccination were studied. The obtained results recommended how to control the corona virus keeping in mind the contact rate and vaccination. Keywords:   Covid-19, Double dose Vaccination, Basic Reproduction Number, Global Stabilit

Dynamical Analysis and Control Strategies for Capturing the Spread of COVID-19

In this paper, a study of preventive measures capable of curbing the spread of COVID 19 pandemic to avoid its second wave was carried out. The existence and uniqueness of the proposed mathematical model is assured, the basic reproduction number is established, the local and global stability of the disease free equilibrium are well obtained and the variational iteration method is applied to solve the mathematical model. Numerical simulation of the included control parameters are carried out. The obtained results and outcomes are presented graphically. It was revealed that enlightenment to vaccination awareness should be encouraged as vaccination is a good strategy of capturing the spread of the disease. Keywords: Covid-19, Basic Reproduction Number, Local stability, Global Stability, variational Iteration Metho

Analysis and simulation of HIV/AIDS transmission dynamics and control strategies

Abstract   HIV/AIDS is a fatal illness that weakens the immune system of the body, making the victim susceptible to several opportunistic infections. The analysis and numerical simulation of the proposed epidemic model of HIV/AIDS with vertical transmission was carried out. The disease free and endemic equilibrium of the model were obtained and the basic reproduction number was established. Numerical simulations using the homotropy perturbation method was employed to demonstrate the efficacy of the key findings. The results of the simulation were graphically presented and interpreted.   Keywords: HIV/AIDS, disease free equilibrium, endemic equilibrium, Laplace Adomian decomposition