Global dynamics analysis of non-local delayed reaction-diffusion Avian influenza model with vaccination and multiple transmission routes in the spatial heterogeneous environment
DOI10.1007/s12346-024-01057-1zbMATH Open1547.357MaRDI QIDQ6550198
Publication date: 4 June 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
equilibrium statesreaction-diffusion modelbasic reproduction numbernonlocal delayed and spatial heterogeneitystability and uniformly persistence
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Medical epidemiology (92C60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Cites Work
- On a reaction-diffusion system modeling the dengue transmission with nonlocal infections and crowding effects
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- A diffusive dengue disease model with nonlocal delayed transmission
- Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates
- Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Avian-human influenza epidemic model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- A geographical spread of vaccine-resistance in avian influenza epidemics
- Stability and traveling waves of a vaccination model with nonlinear incidence
- Global transmission dynamics of a zika virus model
- Prevention of avian influenza epidemic: what policy should we choose?
- Theory and applications of partial functional differential equations
- Robust persistence for semidynamical systems.
- Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes
- Dynamics of a diffusive vaccination model with nonlinear incidence
- Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates
- Dynamical analysis of a nonlocal delayed and diffusive HIV latent infection model with spatial heterogeneity
- Transmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, China
- Transmission dynamics of tuberculosis with multiple re-infections
- Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays
- Competitive exclusion in a multi-strain malaria transmission model with incubation period
- Role of seasonality and spatial heterogeneous in the transmission dynamics of avian influenza
- Dynamics of an HTLV-I infection model with delayed CTLs immune response
- Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation
- A delayed avian influenza model with avian slaughter: stability analysis and optimal control
- Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment
- Diffusive host-pathogen model revisited: Nonlocal infections, incubation period and spatial heterogeneity
- A delayed Schistosomiasis transmission model and its dynamics
- Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease
- Analysis of a reaction-diffusion cholera model with distinct dispersal rates in the human population
- The impact of the media awareness and optimal strategy on the prevalence of tuberculosis
- Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence
- A time-periodic and reaction-diffusion dengue fever model with extrinsic incubation period and crowding effects
- Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate
- Global dynamic analysis of a H7N9 avian-human influenza model in an outbreak region
- Analysis of an epidemic system with two response delays in media impact function
- Theoretical assessment of avian influenza vaccine
- Stability analysis of fuzzy HTLV-I infection model: a dynamic approach
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian Influenza A model
- Dynamical analysis of a diffusive malaria model with fixed latent period in the human and vector populations
- On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- ANALYSIS OF AVIAN INFLUENZA A (H7N9) MODEL BASED ON THE LOW PATHOGENICITY IN POULTRY
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- A non-local delayed and diffusive predator-prey model.
- On dynamics of stochastic avian influenza model with asymptomatic carrier using spectral method
- Threshold dynamics in a clonorchiasis model with time delays
- Modeling the influence of vaccination coverage on the dynamics of COVID‐19 pandemic with the effect of environmental contamination
- Global Hopf bifurcation of a two-delay epidemic model with media coverage and asymptomatic infection
- Analysis of an avian influenza model with Allee effect and stochasticity
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