scholarly journals Asymptotic behaviour for prey-predator systems and logistic equations with unbounded time-dependent coefficients

2014 ◽  
Vol 34 (10) ◽  
pp. 4127-4137
Author(s):  
Felipe Rivero ◽  
Juan C. Jara
Keyword(s):  
Asymptotic Behaviour ◽  
Time Dependent ◽  
Logistic Equations

Asymptotic behaviour of solutions to abstract logistic equations

2007 ◽  
Vol 206 (2) ◽  
pp. 216-232 ◽  
Author(s):  
Janet Dyson ◽  
Rosanna Villella-Bressan ◽  
Glenn F. Webb
Keyword(s):  
Asymptotic Behaviour ◽  
Logistic Equations ◽  
Asymptotic Behaviour Of Solutions

scholarly journals Asymptotic behaviour of a nonautonomous cooperative system

2001 ◽  
Vol 42 (4) ◽  
pp. 561-568 ◽  
Author(s):  
Zhu Hongliang ◽  
Cui Jingan
Keyword(s):  
Periodic Solution ◽  
Asymptotic Behaviour ◽  
Positive Solutions ◽  
Periodic System ◽  
Positive Periodic Solution ◽  
Time Dependent ◽  
Cooperative System ◽  
Periodic Functions

AbstractThis paper considers a nonautonomous cooperative system, in which all the parameters are time-dependent and asymptotically approach periodic functions. We prove that under some appropriate conditions any positive solutions of the system asymptotically approach the unique positive periodic solution of the corresponding periodic system.

scholarly journals Branching Brownian motion with spatially homogeneous and point-catalytic branching

2019 ◽  
Vol 56 (3) ◽  
pp. 891-917
Author(s):  
Sergey Bocharov ◽  
Li Wang
Keyword(s):  
Brownian Motion ◽  
Asymptotic Behaviour ◽  
Growth Rates ◽  
Single Point ◽  
Time Dependent ◽  
First Order ◽  
Branching Brownian Motion ◽  
Catalytic Branching ◽  
Spatially Homogeneous

AbstractWe consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

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