Articles with "backward bifurcation" as a keyword



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Backward bifurcation analysis for two continuous and discrete epidemiological models

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Published in 2018 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.5138

Abstract: The Department of Science and Technology (DST)/National Research Foundation (NRF) South African Research Chairs Initiative (SARChI) Chair in Mathematical Models and Methods in Bioengineering and Biosciences. read more here.

Keywords: bifurcation analysis; backward bifurcation; discrete epidemiological; two continuous ... See more keywords
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A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation.

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Published in 2022 at "Journal of biological dynamics"

DOI: 10.1080/17513758.2023.2192238

Abstract: 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… read more here.

Keywords: conditions forward; forward backward; nonlinear relapse; model ... See more keywords
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The backward bifurcation of a model for malaria infection

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Published in 2017 at "International Journal of Biomathematics"

DOI: 10.1142/s1793524518500183

Abstract: In this paper, an epidemic model of a vector-borne disease, namely, malaria, is considered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the disease-free equilibrium is… read more here.

Keywords: model malaria; backward bifurcation; bifurcation model; equilibrium ... See more keywords