Local Bifurcation Analysis of One Parameter in the Greitzer’s Model with a General Compressor Characteristic

2021 ◽  
Vol 19 (1) ◽  
Author(s):  
Naima Meskine ◽  
Mohand Kessal ◽  
Djamila Seba
2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Raid Kamel Naji ◽  
Reem Mudar Hussien

An epidemic model that describes the dynamics of the spread of infectious diseases is proposed. Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered. The basic reproduction numberR0is determined. The local and the global stability of all possible equilibrium points are achieved. The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied. Numerical simulations are used to confirm our obtained analytical results.


2015 ◽  
Vol 83 (4) ◽  
pp. 2055-2066 ◽  
Author(s):  
Zhonglin Wang ◽  
Leilei Zhou ◽  
Zengqiang Chen ◽  
Jiezhi Wang

2008 ◽  
Vol 17 (7) ◽  
pp. 2420-2432 ◽  
Author(s):  
Wu Wen-Juan ◽  
Chen Zeng-Qiang ◽  
Yuan Zhu-Zhi

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