Mikailalsys Journal of Mathematics and Statistics
Vol 3 No 3 (2025): Mikailalsys Journal of Mathematics and Statistics

Mathematical Analysis of Cryptosporidium Outbreak

W, Ayanrinola O. (Unknown)
A, Odebiyi O. (Unknown)
M, Ogidiolu O. (Unknown)
O, Fagbemiro (Unknown)
O, Ogidiolu O. (Unknown)
O, Adeyemi M. (Unknown)



Article Info

Publish Date
07 Jun 2025

Abstract

Cryptosporidium is a waterborne pathogen that transmits through various routes, including contact with the feces of infected individuals, contaminated environments, unsafe water, unsanitized food, raw or unpasteurized milk, animal exposure, and recreational water bodies. This study formulates and analyzes five compartmental models to propose effective strategies for controlling the spread of cryptosporidiosis. The models were assessed for biological and mathematical validity using the theory of positivity and were confirmed to be epidemiologically well-posed. The basic reproduction number was derived using the next generation matrix method and found to be less than unity, suggesting that the infection has the potential to be eliminated from the population. Stability analysis of the disease-free equilibrium was conducted using the Jacobian matrix method and confirmed local asymptotic stability. Sensitivity analysis identified the contact rate between susceptible and infected individuals as the most influential parameter affecting the basic reproduction number. This highlights the importance of reducing contact rates as a key intervention strategy. Numerical simulations performed using Maple 22 provided supportive insights and interpretations of the model dynamics, reinforcing the analytical findings.

Copyrights © 2025






Journal Info

Abbrev

MJMS

Publisher

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...