Fractal dimension and synchronization of the controlled Julia sets of the SIRS model

It is of crucial significance to study the infectious disease phenomenon by using the SIRS model and thoughts of Julia set. In this paper, Julia set of the discrete version of the SIRS model is est...

[1]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[2]  Shutang Liu,et al.  Fractal Dimension and Synchronization of the Controlled Julia Sets of a Reaction–Diffusion System , 2017 .

[3]  Yongping Zhang,et al.  Fractal analysis and control of the competition model , 2016 .

[4]  Zhaoqing Li,et al.  Fractal dimension of the controlled Julia sets of the output duopoly competing evolution model , 2016 .

[5]  Saeed Khorashadizadeh,et al.  Chaos synchronization using higher-order adaptive PID controller , 2018 .

[6]  C. Zhai,et al.  Unique solutions for a new coupled system of fractional differential equations , 2018 .

[7]  Thiago C. Figueiredo,et al.  Fractal measures of video-recorded trajectories can classify motor subtypes in Parkinson’s Disease , 2016 .

[8]  Sandeep Mishra,et al.  A mathematical model for the control of carrier-dependent infectious diseases with direct transmission and time delay , 2013 .

[9]  Brandon Brown,et al.  Fractal dimension analysis of the cortical ribbon in mild Alzheimer's disease , 2010, NeuroImage.

[10]  Lijuan Chen,et al.  Global stability and optimal control of an SIRS epidemic model on heterogeneous networks , 2014 .

[11]  Zhidong Teng,et al.  Stability and bifurcation analysis in a discrete SIR epidemic model , 2014, Math. Comput. Simul..

[12]  A. Gumel,et al.  Global asymptotic properties of an SEIRS model with multiple infectious stages , 2010 .

[13]  Li Yan,et al.  Ultimate bound estimation set and chaos synchronization for a financial risk system , 2018, Math. Comput. Simul..

[14]  Jalil Rashidinia,et al.  On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy , 2018, Complex..

[15]  A. Reynolds,et al.  Optimal search patterns in honeybee orientation flights are robust against emerging infectious diseases , 2016, Scientific Reports.

[16]  Mallenahalli Naresh Kumar,et al.  A dynamic model for infectious diseases: The role of vaccination and treatment , 2015, Chaos, Solitons & Fractals.