Issoufou Zore
Author Information
Full Name: Issoufou Zore
Current Address: Laboratoire De Mathematiques Et Informatique, Universite Joseph Ki-zerbo, 03 Bp 7021 Ouagadougou 03, Burkina Fas
Email: zoreissoufou19@gmail.com
ORCID: 0009-0004-7774-8751
Open AccessArticleAsymptotic Behavior of a Vector-host Disease Model with Piecewise-smooth Treatment
Ali Traore*, Issoufou Zore and Boureima Ouedraogo
Annals of Communications in Mathematics 2026,
9(1),
2
DOI: https://doi.org/10.62072/acm.2026.09002
ABSTRACT. In this paper, we analyze a vector-host epidemic model with a piecewise-smooth treatment rate. The use of piecewise-smooth treatment depicts the limited medical resource situation in the community. The treatment increases linearly with infective population until the treatment capacity is reached, after which constant treatment (i.e., maximum treatment) is applied. The analysis indicates that there exists a critical value \( I_{h0}^c = \frac{b_h}{\mu_h} \) for the infective human population level \( I_{h0} \) at which the health care system reaches its capacity. We derive that when \( I_{h0} \geq I_{h0}^c \), the dynamics of the model is completely determined by the basic reproduction number \( R_0 \). When \( I_{h0} < I_{h0}^c \), the model exhibits multiple endemic equilibria.




