Enacting caring presence in a conflicting environment: the case of state patients
| dc.contributor.author | S.C. Oukouomi Noutchie et al | |
| dc.date.accessioned | 2026-02-18T12:43:25Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This study presents a novel predator-prey model that incorporates Susceptible-Infected (SI) disease dynamics within the predator population. In this model, infected predators face a higher risk of death due to hunger compared to disease-induced death. We introduce two control variables aimed at reducing disease transmission and mitigating the impact of hunger on infected predators. The optimal control problem is formulated using a smoothed prey penalty cost function to ensure the prey population remains above a critical threshold, thereby reducing predator mortality. Existence results for the optimal control are established, and numerical simulations illustrate the effectiveness of the proposed strategies. AMS Subject Classification (2020): 92D25, 92D30, 49N90, 34H05 | |
| dc.identifier.citation | Noutchie, S.C., Mafatle, N.E., Mbroh, N.A. and Kubayi, D., 2024. Predator-prey model with SI disease dynamics in predators, increased hunger risk for infected predators, and optimal control strategies. Journal of Algebra & Applied Mathematics, 22(2). | |
| dc.identifier.uri | http://hdl.handle.net/10394/45986 | |
| dc.language.iso | en | |
| dc.publisher | Society for the Study of Business and Finance | |
| dc.subject | Predator-prey dynamics | |
| dc.subject | disease modeling | |
| dc.subject | SI model | |
| dc.subject | optimal control | |
| dc.subject | hunger risk | |
| dc.subject | ecosystem management | |
| dc.title | Enacting caring presence in a conflicting environment: the case of state patients | |
| dc.type | Article |