Simultaneous Differential Equation And Its Application

Malaria, an infectious disease caused by the Plasmodium parasite, is transmitted between humans through the bites of female Anopheles mosquitoes. To understand and manage this disease, mathematical modeling describes the dynamics of malaria transmission and the interactions between human and mosquito populations using mathematical equations. These equations detail the relationships between different variables within the compartments of […]

Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered. Furthermore, the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were considered also. The stability analysis shows that the discrete delays in the population growth lead to ins […]

This project delves into the intricate realm of solving second-order ordinary differential equations, aiming to elucidate and demystify the methodologies involved, along with their practical applications. Particular emphasis is placed on the utilization of variation of parameters and exact solutions, both as tools for resolving these equations and for transforming higher-order ordinary differential equations.