Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters

  title={Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters},
  author={Edoardo Beretta and Yang Kuang},
  journal={SIAM J. Math. Anal.},
In most applications of delay differential equations in population dynamics,the need of incorporation of time delays is often the result of the existence of some stage structure. Since the through-stage survival rate is often a function of time delays,it is easy to conceive that these models may involve some delay dependent parameters. The presence of such parameters often greatly complicates the task of an analytical study of such models. The main objective of this paper is to provide… Expand
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