Hopf bifurcation for simple food chain model with delay.
Cavani, Mario, Lara, Teodoro, Romero, Sael (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cavani, Mario, Lara, Teodoro, Romero, Sael (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Abbas, Syed, Banerjee, Malay (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yafia, Radouane (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zaman, Gul (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Brauer, Fred (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhang, Xiao, Xu, Rui, Gan, Qintao (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhang, Jin-Zhu, Jin, Zhen, Liu, Quan-Xing, Zhang, Zhi-Yu (2008)
Discrete Dynamics in Nature and Society
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Eberl, Hermann J., Frederick, Mallory R., Kevan, Peter G. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Q. J. A. Khan, E. V. Krishnan (2003)
Applications of Mathematics
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We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.
Marik, Robert, Pribylova, Lenka (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gaff, Holly D., Hartley, David M., Leahy, Nicole P. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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