@article{Rwat_Ahmad_2023, title={Backward Bifurcation and Hysteresis in a Mathematical Model of COVID19 with Imperfect Vaccine}, volume={39}, url={https://matematika.utm.my/index.php/matematika/article/view/1458}, abstractNote={<p><span class="fontstyle0">Vaccination has been used as strategy to eradicate the spread of COVID-19. But imperfect vaccine has been reported to induce backward bifurcation and hysteresis in mathematical models of disease transmission. Backward bifurcation is a phenomenon whereby a stable endemic equilibrium exists contemporaneously with a stable disease-free equilibrium when the basic reproduction number is less than 1. This situation can cause di</span><span class="fontstyle2">ffi</span><span class="fontstyle0">culty in controlling an epidemic because the basic reproduction is no longer the only means of eradicating the disease. In this paper, we propose a mathematical model for the transmission of disease which includes imperfect vaccination. We show that our model is capable of capturing backward bifurcation under certain conditions. By using parameters that are relevant to COVID-19 transmission in Malaysia, our numerical analysis shows that low vaccine e</span><span class="fontstyle2">ffi</span><span class="fontstyle0">cacy can trigger backward bifurcation.</span></p>}, number={1}, journal={MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics}, author={Rwat, Solomon Isa and Ahmad, Noor Atinah Ahmad}, year={2023}, month={Apr.}, pages={87–99} }