Abstract
AbstractIn theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equations. For various such applications the environment has an aperiodic influence on the models leading to nonautonomous integrodifference equations. In order to capture their long-term behaviour comprehensively, both pullback and forward attractors, as well as forward limit sets are constructed for general infinite-dimensional nonautonomous dynamical systems in discrete time. While the theory of pullback attractors, but not their application to integrodifference equations, is meanwhile well-established, the present novel approach is needed in order to understand their future behaviour.
Publisher
Springer Science and Business Media LLC
Reference25 articles.
1. Atkinson, K.E.: A survey of numerical methods for solving nonlinear integral equations. J. Integr. Equ. Appl. 4(1), 15–46 (1992)
2. Aulbach, B., Van Minh, N.: The concept of spectral dichotomy for linear difference equations II. J. Differ. Equ. Appl. 2, 251–262 (1996)
3. Bouhours, J., Lewis, M.A.: Climate change and integrodifference equations in a stochastic environment. Bull. Math. Biol. 78(9), 1866–1903 (2016)
4. Carvalho, A.N., Langa, J.A., Robinson, J.C.: Attractors for Infinite-dimensional Non-autonomous Dynamical Systems, Applied Mathematical Sciences 182. Springer, Berlin (2012)
5. Cui, H., Kloeden, P.E.: Comparison of attractors of asymptotically equivalent difference equations. In: Elaydi, S., et al. (Eds.) Difference Equations, Discrete Dynamical Systems and Applications, Proceedings of the Mathematical Statistics, Vol. 287, pp. 31–50. Springer, Cham (2019)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献