Optimal control of deterministic and stochastic Eco-epidemic food adulteration model

In this paper, we develop a deterministic and stochastic mathematical model to study the effect of contaminated foods on human health by spreading media awareness. A predator–prey SI model with media-induced response function is considered. In the deterministic case, the model has three equilibria:...

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Veröffentlicht in:Results in control and optimization 2024-03, Vol.14, p.100336, Article 100336
Hauptverfasser: Khare, Shivani, Mathur, Kunwer Singh, Das, Krishna Pada
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Sprache:eng
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Zusammenfassung:In this paper, we develop a deterministic and stochastic mathematical model to study the effect of contaminated foods on human health by spreading media awareness. A predator–prey SI model with media-induced response function is considered. In the deterministic case, the model has three equilibria: trivial, disease-free, and endemic. While the endemic equilibria exist for low media impact provided R0>1. Here, the trivial equilibrium is always unstable. However, the disease-free equilibrium exhibits local and global asymptotically stable behavior provided that R0
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2023.100336