Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations
نویسندگان
چکیده
We present a sufficient condition for robust permanence of ecological (or Kolmogorov) differential equations based on average Liapunov functions. Via the minimax theorem we rederive Schreiber’s sufficient condition [S. Schreiber, J. Differential Equations, 162 (2000), pp. 400–426] in terms of Liapunov exponents and give various generalizations. Then we study robustness of permanence criteria against discretizations with fixed and variable stepsizes. Applications to mathematical ecology and evolutionary games are given.
منابع مشابه
A Functional Equation Characterizing Monomial Functions Used in Permanence Theory for Ecological Differential Equations
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 34 شماره
صفحات -
تاریخ انتشار 2003