Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence
From MaRDI portal
Publication:2198884
DOI10.1016/j.cnsns.2015.12.022zbMath1473.92043OpenAlexW2266701143MaRDI QIDQ2198884
Lindi M. Wahl, Wenjing Zhang, Pei Yu
Publication date: 15 September 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.12.022
dynamical systemhomoclinic orbitstability and bifurcationrecurrent infectionBogdanov-Takens (BT) bifurcationHIV viral blipsHopf and generalized Hopf bifurcationsrecurrent autoimmune disease
Related Items
Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point ⋮ Backward bifurcations, turning points and rich dynamics in simple disease models ⋮ Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions ⋮ Global dynamics of a delayed two-patch discrete SIR disease model ⋮ Multistable Phenomena Involving Equilibria and Periodic Motions in Predator–Prey Systems ⋮ Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center ⋮ A new bifurcation in non-smooth continuous system inducing semi-limit cycle ⋮ Complex dynamics in biological systems arising from multiple limit cycle bifurcation ⋮ Mixed-mode oscillations in a three-store calcium dynamics model ⋮ A new approach of asymmetric homoclinic and heteroclinic orbits construction in several typical systems based on the undetermined Padé approximation method ⋮ Complex dynamics in a unified SIR and HIV disease model: a bifurcation theory approach ⋮ MULTIPLE RECURRENT OUTBREAK CYCLES IN AN AUTONOMOUS EPIDEMIOLOGICAL MODEL DUE TO MULTIPLE LIMIT CYCLE BIFURCATION
Cites Work
- Unnamed Item
- Normal forms, Melnikov functions and bifurcations of limit cycles
- An epidemiological model with a delay and a nonlinear incidence rate
- Some epidemiological models with nonlinear incidence
- Backward bifurcation and optimal control in transmission dynamics of West Nile virus
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Elements of applied bifurcation theory.
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- A disease transmission model in a nonconstant population
- Global stability for the SEIR model in epidemiology
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Self-tolerance and autoimmunity in a regulatory T cell model
- Conditions for Transient Viremia in Deterministic in-Host Models: Viral Blips Need No Exogenous Trigger
- COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- Modeling and Analysis of Recurrent Autoimmune Disease
- Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models
- Non-linear incidence and stability of infectious disease models
- Relaxation oscillation and canard explosion
