Dynamics analysis of a spatiotemporal SI model

[1]  Xiao-Qiang Zhao,et al.  Computation of the basic reproduction numbers for reaction-diffusion epidemic models , 2023, Mathematical biosciences and engineering : MBE.

[2]  Mengxin Chen,et al.  Steady states and spatiotemporal evolution of a diffusive predator–prey model , 2023, Chaos, Solitons & Fractals.

[3]  D. Kirschner,et al.  Structural identifiability analysis of age-structured PDE epidemic models , 2022, Journal of Mathematical Biology.

[4]  Hongyong Zhao,et al.  Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion , 2021 .

[5]  Nilam,et al.  Stability analysis of a logistic growth epidemic model with two explicit time-delays, the nonlinear incidence and treatment rates , 2021, Journal of Applied Mathematics and Computing.

[6]  Pritam Saha,et al.  Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds , 2021, Nonlinear Dynamics.

[7]  Sandeep Sharma,et al.  Bifurcation and stability analysis of a cholera model with vaccination and saturated treatment , 2021 .

[8]  Prashant K Srivastava,et al.  Nonlinear dynamical behavior of an SEIR mathematical model: Effect of information and saturated treatment. , 2021, Chaos.

[9]  Nilam,et al.  Effects of Nonmonotonic Functional Responses on a Disease Transmission Model: Modeling and Simulation , 2021, Communications in Mathematics and Statistics.

[10]  A. Yakubu,et al.  Asymptotic behavior of a discrete-time density-dependent SI epidemic model with constant recruitment , 2021, Journal of Applied Mathematics and Computing.

[11]  Magdy A. Ezzat,et al.  A modified SEIR model applied to the data of COVID-19 spread in Saudi Arabia , 2020, AIP advances.

[12]  Zhi-Cheng Wang,et al.  A reaction–diffusion epidemic model with incubation period in almost periodic environments , 2020, European Journal of Applied Mathematics.

[13]  D. Sornette,et al.  Generalized logistic growth modeling of the COVID-19 outbreak: comparing the dynamics in the 29 provinces in China and in the rest of the world , 2020, Nonlinear Dynamics.

[14]  Ángel G. C. Pérez,et al.  Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment , 2019, Chaos, Solitons & Fractals.

[15]  H. Srivastava,et al.  Analytical and approximate solutions of fractional‐order susceptible‐infected‐recovered epidemic model of childhood disease , 2018, Mathematical Methods in the Applied Sciences.

[16]  Pierre Magal,et al.  Spatial spread of epidemic diseases in geographical settings: Seasonal influenza epidemics in Puerto Rico , 2018, Discrete & Continuous Dynamical Systems - B.

[17]  Rui Peng,et al.  Concentration profile of endemic equilibrium of a reaction–diffusion–advection SIS epidemic model , 2017 .

[18]  Yuan Lou,et al.  A spatial SIS model in advective heterogeneous environments , 2016 .

[19]  Hongyong Zhao,et al.  Dynamic Analysis of a Reaction-Diffusion Rumor Propagation Model , 2016, Int. J. Bifurc. Chaos.

[20]  Yongli Cai,et al.  Spatiotemporal Dynamics in a Reaction-Diffusion Epidemic Model with a Time-Delay in Transmission , 2015, Int. J. Bifurc. Chaos.

[21]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[22]  Yuan Lou,et al.  Diffusion, Self-Diffusion and Cross-Diffusion , 1996 .

[23]  Jayanta K. Ghosh,et al.  Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment , 2021, Mathematical Modelling of Natural Phenomena.

[24]  Ranchao Wu,et al.  Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme , 2021, Discrete & Continuous Dynamical Systems - B.

[25]  Nishith Mohan,et al.  Positive steady states of a SI epidemic model with cross diffusion , 2021, Appl. Math. Comput..

[26]  Mengxin Chen,et al.  QUALITATIVE ANALYSIS OF A DIFFUSIVE COVID-19 MODEL WITH NON-MONOTONE INCIDENCE RATE , 2020, Journal of Applied Analysis & Computation.

[27]  Yixiang Wu,et al.  Global L-bounds and long-time behavior of a diffusive epidemic system in heterogeneous environment , 2019 .

[28]  Wan-Tong Li,et al.  Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions , 2019, Journal of Differential Equations.

[29]  L. Dung.  Dissipativity and global attractors for a class of quasilinear parabolic systems , 1997 .