Stability and Hopf Bifurcation of a Delayed Mutualistic System
Keyword(s):
In this paper, we study a classic mutualistic relationship between the leaf cutter ants and their fungus garden, establishing a time delay mutualistic system with stage structure. We investigate the stability and Hopf bifurcation by analyzing the distribution of the roots of the associated characteristic equation. By means of the center manifold theory and normal form method, explicit formulae are derived to determine the stability, direction and other properties of bifurcating periodic solutions. Finally, some numerical simulations are carried out for illustrating the theoretical results.
2015 ◽
Vol 2015
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pp. 1-8
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2016 ◽
Vol 26
(06)
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pp. 1650100
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2013 ◽
Vol 5
(2)
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pp. 146-162
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2020 ◽
Vol 30
(03)
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pp. 2050039
2011 ◽
Vol 110-116
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pp. 3382-3388
2013 ◽
Vol 23
(02)
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pp. 1350023
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