Threshold dynamics of a Huanglongbing model with logistic growth in periodic environments

DOI10.1155/2014/841367zbMath1474.34360OpenAlexW2153290164WikidataQ59041967 ScholiaQ59041967MaRDI QIDQ1725113

Dehui Xie, Shujing Gao, Yueli Luo, Jian-ping Wang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/841367

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Global dynamics of a Huanglongbing model with a periodic latent period ⋮ Global dynamics of a stage-structured Huanglongbing model with time delay ⋮ A mathematical model of malaria transmission in a periodic environment ⋮ A mathematical model of malaria transmission with structured vector population and seasonality ⋮ Threshold dynamics in a periodic three-patch rift valley fever virus transmission model ⋮ Bifurcation and optimal control analysis of delayed models for huanglongbing

Cites Work

• A periodic epidemic model in a patchy environment
• Global stability and periodic solution of the viral dynamics
• Threshold dynamics for compartmental epidemic models in periodic environments
• Global dynamics of a class of SEIRS epidemic models in a periodic environment
• Permanence and asymptotic behavior of the \(N\)-species nonautonomous Lotka-Volterra competitive systems
• On a nonautonomous SEIRS model in epidemiology
• ON THE PERMANENCE FOR n-SPECIES NON-AUTONOMOUS LOTKA–VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAYS AND FEEDBACK CONTROLS
• The Theory of the Chemostat
• Dynamical systems in population biology

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