Global stability and oscillation of a discrete annual plants model.
Saker, S.H. (2010)
Abstract and Applied Analysis
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Saker, S.H. (2010)
Abstract and Applied Analysis
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Yang, Junyuan, Wang, Xiaoyan (2010)
Advances in Difference Equations [electronic only]
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Smítalová, Kristína
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Cao, Yulin, Gard, Thomas C. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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H. R. Thieme, A. Tridane, Y. Kuang (2008)
Mathematical Modelling of Natural Phenomena
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A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated...
Tian, Xiaohong, Xu, Rui (2009)
Discrete Dynamics in Nature and Society
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Gazi, Nurul Huda, Bandyopadhyay, Malay (2006)
International Journal of Mathematics and Mathematical Sciences
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Liu, Helong, Xu, Houbao, Yu, Jingyuan, Zhu, Guangtian (2005)
Journal of Applied Mathematics
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Liu, Bing, Duan, Ying, Gao, Yinghui (2009)
Discrete Dynamics in Nature and Society
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Banibrata Mukhopadhyay, Rakhi Bhattacharyya (2010)
Applications of Mathematics
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We consider a mathematical model of nutrient-autotroph-herbivore interaction with nutrient recycling from both autotroph and herbivore. Local and global stability criteria of the model are studied in terms of system parameters. Next we incorporate the time required for recycling of nutrient from herbivore as a constant discrete time delay. The resulting DDE model is analyzed regarding stability and bifurcation aspects. Finally, we assume the recycling delay in the oscillatory form to...