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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-804
Full Name: Yongzhen Pei
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Sex: Female
Address: Tianjin Polytechnic University,Tianjin, 300160,China
Country: CHINA
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E-mail address: peiyongzhen@sina.vip.com
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Title of the Paper: Rich dynamical behaviors of a predator-prey system with state feedback control and a general functional responses
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Number of paper pages: 11
Abstract: In this paper, we study dynamics of a logistical predator-prey system with state feedback control and a general functional responses By using the Poincare map, some conditions for the existence and stability of semi-trivial solution and positive periodic solution are obtained . Numerical results are carried out to illustrate the feasibility of our main results, and it is shown that a chaotic solution is generated via a cascade of period-doubling bifurcations, which implies that the presence of pulses makes the dynamic behavior more complex.
Keywords: Prey-predator system; State feedback control; Periodic solution; Extinction; Bifurcation
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