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Title of Journal: Acta Math Sinica

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Abbravation: Acta Mathematica Sinica

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Springer-Verlag

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DOI

10.1016/0169-4758(91)90140-j

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1439-7617

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The Dynamics of a Prey–dependent Consumption Model

Authors: Bing Liu Yu Juan Zhang Lan Sun Chen Li Hua Sun
Publish Date: 2005/03/25
Volume: 21, Issue: 3, Pages: 541-554
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Abstract

A mathematical model for the dynamics of a prey–dependent consumption model concerning integrated pest management is proposed and analyzed We show that there exists a globally stable pesteradication periodic solution when the impulsive period is less than some critical values Furthermore the conditions for the permanence of the system are given By using bifurcation theory we show the existence of a nontrival periodic solution if the pest–eradication periodic solution loses its stability When the unique positive periodic solution loses its stability numerical simulation shows there is a characteristic sequence of bifurcations leading to a chaotic dynamics which implies that dynamical behaviors of prey–dependent consumption concerning integrated pest management are very complex including period–doubling cascades chaotic bands with periodic windows crises symmetry–breaking bifurcations and supertransients

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  2. Applications of k –covers
  3. The bipolar quantum drift-diffusion model
  4. Free completely J ( ℓ ) -simple Semigroups
  5. An implicit degree ore-condition for pancyclicity of graphs
  6. Herz-type Triebel–Lizorkin Spaces, I
  7. A variation of a conjecture due to Erdös and Sós
  8. P-distances, q-distances and a generalized Ekeland’s variational principle in uniform spaces
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  10. Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space
  11. Extension of Isometries Between the Unit Spheres of Normed Space E and C (Ω)
  12. f -Colorings of some graphs of f -class 1
  13. On the Finite Convergence of Newton-type Methods for P 0 Affine Variational Inequalities
  14. Maximal integral over observable measures
  15. The semiclassical limit in the quantum drift-diffusion model
  16. Sharp estimates of p -adic hardy and Hardy-Littlewood-Pólya operators
  17. A class of normal weighted composition operators on the Fock space of ℂ n
  18. Lipschitz algebras and peripherally-multiplicative maps
  19. Isometric immersions into warped product spaces
  20. Orthogonality and quintic functional equations
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  22. Self-dual weak Hopf algebras
  23. Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains
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