Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources
From MaRDI portal
Publication:2634268
DOI10.1016/j.jde.2015.11.009zbMath1339.34057OpenAlexW2178209125MaRDI QIDQ2634268
Chunhua Shan, Yingfei Yi, Huai-Ping Zhu
Publication date: 8 February 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.009
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)
Related Items
The nilpotent bifurcations in a model for generalist predatory mite and pest leafhopper with stage structure, Environmental risks in a diffusive SIS model incorporating use efficiency of the medical resource, Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases, Complex behaviors of epidemic model with nonlinear rewiring rate, Multiple equilibria in a non-smooth epidemic model with medical-resource constraints, Nilpotent singularities and periodic perturbation of a \(GI \beta\) model: a pathway to glucose disorder, Delayed Model for the Transmission and Control of COVID-19 with Fangcang Shelter Hospitals, Bifurcation analysis of an SIR model considering hospital resources and vaccination, Threshold behavior and exponential ergodicity of an SIR epidemic model: the impact of random jamming and hospital capacity, Dynamics complexity of generalist predatory mite and the leafhopper pest in tea plantations, Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds, Canard Phenomenon in an SIRS Epidemic Model with Nonlinear Incidence Rate, Bifurcation Analysis of Mathematical Model of Prostate Cancer with Immunotherapy, Permanence and extinction for the stochastic SIR epidemic model, Modeling the effect of time delay in the increment of number of hospital beds to control an infectious disease, Complex bifurcations and noise-induced transitions: a predation model with fear effect in prey and crowding effect in predators, Mathematical analysis for stochastic model of Alzheimer's disease, Dynamics of a Filippov epidemic model with limited hospital beds, Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function, Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate, Complex dynamics of epidemic models on adaptive networks, Bifurcation analysis for an in-host \textit{Mycobacterium tuberculosis} model, Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response, Dynamics analysis of typhoid fever with public health education programs and final epidemic size relation, Mathematical modeling and analysis of meningococcal meningitis transmission dynamics, Nilpotent singularities and bifurcations structure of the Landau-Ginzburg theory of cortex dynamics, Codimension-3 Bifurcation in the p53 Regulatory Network Model, The threshold value of the number of hospital beds in a SEIHR epidemic model
Cites Work
- Unnamed Item
- Multiparametric bifurcations of an epidemiological model with strong Allee effect
- Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
- Dynamic models of infectious diseases as regulators of population sizes
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Backward bifurcation in epidemic control
- Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type
- A disease transmission model in a nonconstant population
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds
- Multiple bifurcations of a predator-prey system
- Cubic Lienard equations with linear damping
- Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
