TY - JOUR
KW - Boundedness
KW - Comparison theorem
KW - Linearization
KW - Non-linear
KW - Stability
AU - Alhassan A
AU - Musa S
AU - Momoh A
AU - Yusuf S
AB - <jats:p>This study examined the dynamics of the yaws infection in the population by developing a non-linear model for the infection. The model's solution's boundedness and positivity were determined by applying the comparison theorem in conjunction with the integration method. Disease-free equilibrium was established, and the basic reproduction number was derived using the next-generation matrix. The disease-free equilibrium (DFE) of the model was examined locally using the linearization approach. It was discovered that the real parts of the eigenvalues are negative, indicating that the DFE is locally asymptotically stable (LAS). The global stability of the DFE for the model was examined using the Castello-Chavez approach, and the results indicated that the DFE is globally asymptotically stable. The impact of the treatment on the transmission dynamics of the disease has been investigated through numerical simulation of the model using ODE45 in Matlab.</jats:p>
BT - Confluence University Journal of Science and Technology
DO - 10.5455/cujostech.240705
IS - 1
LA - ENG
M3 - Article
N2 - <jats:p>This study examined the dynamics of the yaws infection in the population by developing a non-linear model for the infection. The model's solution's boundedness and positivity were determined by applying the comparison theorem in conjunction with the integration method. Disease-free equilibrium was established, and the basic reproduction number was derived using the next-generation matrix. The disease-free equilibrium (DFE) of the model was examined locally using the linearization approach. It was discovered that the real parts of the eigenvalues are negative, indicating that the DFE is locally asymptotically stable (LAS). The global stability of the DFE for the model was examined using the Castello-Chavez approach, and the results indicated that the DFE is globally asymptotically stable. The impact of the treatment on the transmission dynamics of the disease has been investigated through numerical simulation of the model using ODE45 in Matlab.</jats:p>
PB - ScopeMed
PY - 2024
SP - 36
EP - 94
T2 - Confluence University Journal of Science and Technology
TI - Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection
UR - https://www.cujostech.com.ng/index.php?fulltxt=196786&fulltxtj=285&fulltxtp=285-1712323088.pdf
VL - 1
SN - 3043-6133
ER -