Complexity of host-vector dynamics in a two-strain dengue model

DOI10.1080/17513758.2020.1864038zbMath1490.92114OpenAlexW3114795912WikidataQ104566875 ScholiaQ104566875MaRDI QIDQ5861363

Peter Rashkov, Bob W. Kooi

Publication date: 4 March 2022

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2020.1864038

zbMATH Keywords

singular perturbationbifurcation analysisslow-fast systemdenguetwo-strain modelvector-borne disease dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (2)

Analysis of a host-vector dynamics of a dengue disease model with optimal vector control strategy ⋮ Dynamical analysis of an age-structured dengue model with asymptomatic infection

Uses Software

• AUTO

Cites Work

• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Geometric singular perturbation theory for ordinary differential equations
• Analysis of a dengue disease transmission model
• Competitive exclusion in a vector-host model for the dengue fever
• Modelling the transmission dynamics of two-strain Dengue in the presence awareness and vector control
• The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis
• On the role of vector modeling in a minimalistic epidemic model
• Instabilities in multiserotype disease models with antibody-dependent enhancement
• Geometric singular perturbation theory in biological practice
• Analysis of an asymmetric two-strain dengue model
• Bifurcation analysis of a family of multi-strain epidemiology models
• On the nature of turbulence
• Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions
• Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
• Optimal bed net use for a dengue disease model with mosquito seasonal pattern
• Lyapunov functions and global properties for SEIR and SEIS epidemic models
• Time-scale separation and centre manifold analysis describing vector-borne disease dynamics
• Elements of applied bifurcation theory

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