TY - JOUR
AU - Babaji Muhammad, Idris
AU - Usaini, Salisu
PY - 2021/02/18
Y2 - 2021/05/06
TI - Dynamics of Toxoplasmosis Disease in Cats population with vaccination
JF - Journal of the Nigerian Society of Physical Sciences
JA - J. Nig. Soc. Phys. Sci.
VL - 3
IS - 1
SE - Original Research
DO - 10.46481/jnsps.2021.141
UR - https://journal.nsps.org.ng/index.php/jnsps/article/view/141
SP - 17-25
AB - <p>We extend the deterministic model for the dynamics of toxoplasmosis proposed by Arenas <em>et al.</em> in 2010, by separating vaccinated and recovered classes. The model exhibits two equilibrium points, the disease-free and endemic steady states. These points are both locally and globally stable asymptotically when the threshold parameter R<sub>v</sub> is less than and greater than unity, respectively. The sensitivity analysis of the model parameters reveals that the vaccination parameter $\pi$ is more sensitive to changes than any other parameter. Indeed, as expected the numerical simulations reveal that the higher the vaccination rate of susceptible individuals the smaller the value of the threshold R<sub>v</sub> (i.e., increase in $\pi$ results in the decrease in R<sub>v</sub> , leading to the eradication of toxoplasmosis in cats population.</p>
ER -