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Periodic solutions and homoclinic bifurcations of two predator-prey systems with nonmonotonic functional response and impulsive harvesting
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نویسنده
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huang m. ,song x.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. by using the geometry theory of semicontinuous dynamic system,we obtain the existence,uniqueness,and stability of the periodic solution and analyse the dynamic phenomenon of homoclinic bifurcation of the first system by choosing the harvesting rate β as control parameter. besides,we also study the homoclinic bifurcation of the second system about parameter δ on the basis of the theory of rotated vector field. finally,numerical simulations are presented to illustrate the results. © 2014 mingzhan huang and xinyu song.
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آدرس
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research institute of forest resource information techniques,chinese academy of forestry,beijing 100091,china,college of mathematics and information science,xinyang normal university, China, college of mathematics and information science,xinyang normal university, China
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Authors
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