permanence and global asymptotic stability of a delayed predator-prey model with hassell-varley type functional response
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abstract
here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.
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Tianwei Zhang 1,*, Liyan Pang 2 and Yongzhi Liao 3 1 City College, Kunming University of Science and Technology, Kunming 650051, China 2 School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000, China; [email protected] 3 School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China; [email protected] * Correspondence: zh...
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Journal title:
bulletin of the iranian mathematical societyجلد ۳۷، شماره No. ۳، صفحات ۱۹۷-۲۱۵
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