作者: Fengyan Wang , Guoping Pang , Shuwen Zhang
DOI: 10.1016/J.CHAOS.2009.03.189
关键词: Control theory 、 Food chain 、 Chemostat 、 Computer simulation 、 Bounded function 、 Discrete time and continuous time 、 Applied mathematics 、 Instability 、 Attractor 、 Mathematics 、 Stability (probability) 、 General Mathematics
摘要: Abstract A model of the food chain chemostat involving predator, prey and growth-limiting nutrients is considered. The incorporates two discrete time delays in order to describe involved converting processes. Lotka–Volterra type increasing functions are used species uptakes. In addition showing that solutions with positive initial conditions bounded, we establish sufficient for (i) local stability instability equilibrium (ii) global non-negative equilibria. Numerical simulation suggests have both destabilizing stabilizing effects, system can produce stable periodic solutions, quasi-periodic strange attractors.