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- W2152914215 abstract "A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication periodic solution by bifurcation theory. When the unique positive periodic solution loses its stability, numerical simulation shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics. Finally, we compare the validity of integrated pest management (IPM) strategy with classical methods and conclude IPM strategy is more effective than classical methods." @default.
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- W2152914215 date "2004-01-01" @default.
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- W2152914215 title "Dynamical behavior of Volterra model with mutual interference concerning IPM" @default.
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- W2152914215 doi "https://doi.org/10.1051/m2an:2004007" @default.
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