ASYMPTOTIC BEHAVIOUR FOR PREY-PREDATOR SYSTEMS AND LOGISTIC EQUATIONS WITH UNBOUNDED TIME-DEPENDENT COEFFICIENTS

作者：Jara Juan C^*; Rivero Felipe

来源：Discrete and Continuous Dynamical Systems, 2014, 34(10): 4127-4137.

DOI：10.3934/dcds.2014.34.4127

• and phrases. Non-autonomous prey-predator system
• pullback attractor
• nonp-autonomous logistic equation
• unbounded time-dependent coefficients
• permanece of solutions
• non-autonomous dynamical systems
• evolution processes

In this work we study the asymptotic behaviour of the following prey-predator system
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where functions f,g : R -> R are not necessarily bounded above. We also prove the existence of the pullback attractor and the permanence of solutions for any positive initial data and initial time, making a previous study of a logistic equation with unbounded terms, where one of them can be negative for a bounded interval of time. The analysis of a non-autonomous logistic equation with unbounded coefficients is also needed to ensure the permanence of the model.

• 出版日期2014-10