A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation

 

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Yazarlar: Sánchez Peña, Fabio Ariel, Arroyo Esquivel, Jorge, Calvo Alpízar, Juan Gabriel
Materyal Türü: artículo original
Yayın Tarihi:2023
Diğer Bilgiler:We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing general function, mimicking an influential factor that reduces the flow into the addicted class. The basic reproductive number is computed, which determines the local asymptotically stability of the addicted-free equilibrium. Conditions for a forward-backward bifurcation were established using the basic reproductive number and other threshold quantities. A stochastic version of the model is presented, and some numerical examples are shown. Results showed that the influence of the temporarily reformed individuals is highly sensitive to the initial addicted population.
Ülke:Kérwá
Kurum:Universidad de Costa Rica
Repositorio:Kérwá
Dil:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90119
Online Erişim:https://www.tandfonline.com/doi/full/10.1080/17513758.2023.2192238
https://hdl.handle.net/10669/90119
Anahtar Kelime:ADDICTION
MATHEMATICAL MODELS
MATHEMATICS
NONLINEAR DYNAMICS