Global analysis of a stage-structured model with population diffusion

Wang, W.; Mulone, G.

doi:10.1080/00036811003735915

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…Let R m 0 = p A γa dm(γa+da) . According to the result of [16], we have Lemma 2.1. (Theorem in [16]) If R m 0 < 1, the trivial equilibrium (0,0) of the system (2) is a locally asymptotically stable, and there exists no positive equilibrium.…”

Section: State Variablesmentioning

confidence: 95%

“…According to the result of [16], we have Lemma 2.1. (Theorem in [16]) If R m 0 < 1, the trivial equilibrium (0,0) of the system (2) is a locally asymptotically stable, and there exists no positive equilibrium. If R m 0 > 1, the trivial equilibrium (0,0) of system (2) is unstable, and there exists a unique positive equilibrium (A 0 , M 0 ), which is globally asymptotically stable, where…”

Section: State Variablesmentioning

confidence: 95%

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Analysis of a stage-structured dengue model

Fang¹,

Lin²,

Wan³

2018

Discrete &Amp; Continuous Dynamical Systems - B

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In order to study the impact of control measures and limited resource on dengue transmission dynamics, we formulate a stage-structured dengue model. The basic investigation of the model, such as the existence of equilibria and their stability, have been proved. It is also shown that this model may undergo backward bifurcation, where the stable disease-free equilibrium co-exists with an endemic equilibrium. The backward bifurcation property can be removed by ignoring the disease-induced death in human population and the global stability of the unique endemic equilibrium has been proved. Sensitivity analysis with respect to R 0 has been carried out to explore the impact of model parameters. In addition, numerical analysis manifests that the more intensive control measures in targeting immature and adult mosquitoes are both effective in preventing dengue outbreaks. It is also shown that the earlier the control intervention begins, the less people would be infected and the earlier dengue would be eradicated. Even later epidemic prevention and control can also effectively reduce the severity of pandemic. Moreover, comprehensive control measures are more effective than a single measure.

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Section: State Variablesmentioning

confidence: 95%

Section: State Variablesmentioning

confidence: 95%