【摘要】 研究了生物学中三种群食物链的同步化问题。利用线性时变连续系统的稳定性理论及线性耦合方法获得两个食物链系统间的全局渐进同步,并讨论了噪音对生物种群及其同步化的影响。另外,基于比较定理,严格证明了三种群食物链系统及其耦合系统的有界性。最后,采用两种不同的数值算法进行了数值仿真,其结果与理论计算一致,并就仿真结果阐明了生物学意义。更多还原

【Abstract】 The synchronization problem of the three species food chain in biology was studied.The global asymptotic synchronization was attained from the theory of time-varying systems and linear coupler between two food chain systems,and the noise on the impact of biological population and its synchronization were discussed.In addition,the boundedness of the three species food chain and its coupler system were proved to be effective based on the Comparison theorem.Finally,two different numerical algorithms were adopted to verify the results of theoretical calculation and explain the biological significance.更多还原