China
Africa
Explore chapters and articles related to this topic
Modeling the Epidemic Spread and Outbreak of Ebola Virus
Published in Ranjit Kumar Upadhyay, Satteluri R. K. Iyengar, Spatial Dynamics and Pattern Formation in Biological Populations, 2021
Ranjit Kumar Upadhyay, Satteluri R. K. Iyengar
Bifurcation diagram of system (4.13) is presented in Figure 4.1. The values of the parameters used for simulation are A=5.2,γ=0.1751,μ=0.001,σ=0.08,β=0.27,f=0.74. In the figure, successive variations of the infected populations are taken in the range 0<I≤600 as a function of R0∈[0,2]. When the reproduction number R0<1, the system remains in the disease-free state, and the endemic state sets in as R0 crosses the value 1. The diagram also displays that the model system experiences transcritical bifurcation at R0=1 and backward bifurcation (transcritical bifurcation in opposite direction) at some higher value of R0. Bifurcation analysis displays very rich and complex dynamics, presenting various sequences of period-doubling bifurcations leading to chaotic dynamics and sequences of period-halving bifurcation leading to limit cycles.
A robust control scheme for synchronizing fractional order disturbed chaotic systems with uncertainty and time-varying delay
Published in Systems Science & Control Engineering, 2022
Hai Gu, Jianhua Sun, Hadi Imani
Most physical systems behave nonlinearly and exhibit complex dynamics. Chaotic systems are one of these nonlinear phenomena whose behaviours are strongly affected by the initial values and are presented in chemical reactions, lasers, electronic circuits as well as in natural phenomena such as the solar system, weather and so on (Malica et al., 2020; Zeebe & Lourens, 2019; Zhan et al., 2014). Because of the essence of chaotic systems, they are commonly used in numerous arenas for instance encryption, secure data transfer, and etc. (Chai et al., 2019; Liu et al., 2019).