Abstract
AbstractStoichiometric producer–grazer models are nonsmooth due to the Liebig’s Law of Minimum and can generate new dynamics such as bistability for producer–grazer interactions. Environmental noises can be extremely important and change dynamical behaviors of a stoichiometric producer–grazer model. In this paper, we consider a stochastically forced producer–grazer model and study the phenomena of noise-induced state switching between two stochastic attractors in the bistable zone. Namely, there is a frequent random hopping of phase trajectories between attracting basins of the attractors. In addition, by applying the stochastic sensitivity function technique, we construct the confidence ellipse and confidence band to find the configurational arrangement of equilibria and a limit cycle, respectively.
Funder
National Natural Science Foundation of China
Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,General Agricultural and Biological Sciences,Pharmacology,General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Mathematics,Immunology,General Neuroscience
Reference53 articles.
1. Andersen T (1997) Pelagic nutrient cycles: herbivores as sourced and sinks for nutrients. Springer, Berlin
2. Anishchenko VS, Astakhov V, Neiman A, Vadivasova T, Schimansky-Geier L (2007) Nonlinear dynamics of chaotic and stochastic systems. Springer, Berlin
3. Baras F (1997) Stochastic analysis of limit cycle behavior. Lect Notes Phys 484:167–178
4. Bashkirtseva I, Ryashko LB (2005) Sensitivity and chaos control for the forced nonlinear oscillations. Chaos Solit Fract 26:1437–1451
5. Bashkirtseva I, Ryashko L, Tsvetkov I (2010) Sensitivity analysis of stochastic equilibria and cycles for the discrete dynamic systems. Dyn Contin Discrete Impuls Syst Ser A Math Anal 17:501–515
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