Two-dimensional nonlinear dynamic system model of interspecific interaction and numerical simulation research on it

2003 ◽  
Vol 24 (7) ◽  
pp. 836-844 ◽  
Author(s):  
Li Zi-zhen ◽  
Xu Cai-lin ◽  
Wang Wan-xiong
Keyword(s):  
Numerical Simulation ◽  
Dynamic System ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic System ◽  
Interspecific Interaction ◽  
System Model ◽  
Two Dimensional ◽  
Simulation Research ◽  
Dynamic System Model

scholarly journals Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Xinli Zhang ◽  
Shanliang Zhu
Keyword(s):  
Dynamic System ◽  
Time Scale ◽  
Nonlinear Dynamic ◽  
Sufficient Conditions ◽  
Nonlinear Dynamic System ◽  
Two Dimensional ◽  
Differential Systems ◽  
Difference Systems ◽  
All Solutions ◽  
Forced Term

We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale𝕋and obtain sufficient conditions for all solutions of the system to be oscillatory. Our results not only unify the oscillation of two-dimensional differential systems and difference systems but also improve the oscillation results that have been established by Saker, 2005, since our results are not restricted to the case whereb(t)≠0for allt∈𝕋andg(u)=u. Some examples are given to illustrate the results.

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