Modeling and Analysis of the Multiannual Cholera Outbreaks with Host-Pathogen Encounters

DOI10.1142/S0218127420501205zbMath1448.92365OpenAlexW3042359278MaRDI QIDQ5116647

Wenjing Zhang

Publication date: 18 August 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501205

zbMATH Keywords

global stabilityPoisson point processbifurcation theoryperiodic outbreak of cholera

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

• Analyzing the infection dynamics and control strategies of cholera
• Geometric approach to global asymptotic stability for the SEIRS models in epidemiology
• Modeling optimal intervention strategies for cholera
• Geometric approach for global asymptotic stability of three-dimensional Lotka-Volterra systems
• Multiple transmission pathways and disease dynamics in a waterborne pathogen model
• Some epidemiological models with nonlinear incidence
• Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China
• Logarithmic norms and projections applied to linear differential systems
• Uniform persistence and flows near a closed positively invariant set
• An introduction to mathematical modeling of infectious diseases
• Dynamical models of tuberculosis and their applications
• Modelling the spread of carrier-dependent infectious diseases with environmental effect
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• On R. A. Smith's autonomous convergence theorem
• Compound matrices and ordinary differential equations
• Global analysis of competition for perfectly substitutable resources with linear response
• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source
• Modelling cholera in periodic environments
• Analysis of cholera epidemics with bacterial growth and spatial movement
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
• A Geometric Approach to Global-Stability Problems
• Dichotomies and Asymptotic Behaviour for Linear Differential Systems
• PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
• CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS

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