Download Delay Differential Equations and Dynamical Systems: by S. Busenberg, M. Martelli PDF

By S. Busenberg, M. Martelli

The assembly explored present instructions of analysis in hold up differential equations and comparable dynamical structures and celebrated the contributions of Kenneth Cooke to this box at the celebration of his sixty fifth birthday. the amount includes 3 survey papers reviewing 3 parts of present study and seventeen study contributions. The learn articles take care of qualitative homes of suggestions of hold up differential equations and with bifurcation difficulties for such equations and different dynamical platforms. A better half quantity within the biomathematics sequence (LN in Biomathematics, Vol. 22) includes contributions on contemporary developments in inhabitants and mathematical biology.

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Read Online or Download Delay Differential Equations and Dynamical Systems: Proceedings of a Conference Held in Claremont, California, Jan. 13-16, 1990 PDF

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Extra info for Delay Differential Equations and Dynamical Systems: Proceedings of a Conference Held in Claremont, California, Jan. 13-16, 1990

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Freedman, T. Gard, V. H. So-read a preliminary version of this survey and made valuable comments which are very much appreciated. This research was supported by NSF grant DMS-8901992. References 1. : Demographic change and persistence of HIV/AIDS in a heterogeneous population. To appear, SIAM J. Appl. Math 2. , Hutson, V. (1989): Repellers with infinite delay. J. Math. Anal. Appl. 137, 240-263 3. , Waltman, P. (1986): Uniformly persistent systems. Proc. AMS 96,425-430 4. , Waltman, P. (1986): Persistence in dynamical systems.

Reparametrize by z the portions of the two integral curves of (9) with initial conditions (c, q) and (c, hi(q, c)) determined by the limits of the corresponding integrals above: z, , r/l(z, c, q, ¢), z, ,rh(x,C, hl(q,e),,), O

Anal. 27, 143-152 21. K. (1988): Asymptotic Behavior of Dissipative Systems. Amer. Math. , Providence 22. Harrison, G. (1979): Response of a population to stress: resistance and other stability concepts. Am. Nat. 113, 659-669 23. , Ma, Z. (1986): Persistence in population models with demographic fluctuations. J. Math. Bio. 24, 327-340 24. , Waltman, P. (1989): Persistence in infinite dimensional systems. SIAM J. Math. Anal. 20, 388-395 25. Hofbauer, J. (I980): A general cooperation theorem for hypercycles.

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