Stability criteria for a class of differential inclusion systems with discrete and distributed time delays

2009 ◽  
Vol 39 (5) ◽  
pp. 2386-2391 ◽  
Author(s):  
Yeong-Jeu Sun
Keyword(s):  
Differential Inclusion ◽  
Time Delays ◽  
Stability Criteria ◽  
Distributed Time Delays

scholarly journals Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hong Qiu ◽  
Wenmin Deng ◽  
Mingqi Xiang
Keyword(s):  
Time Delays ◽  
Sufficient Conditions ◽  
Volterra Model ◽  
Optimal Harvesting ◽  
Ergodic Method ◽  
Technical Assumption ◽  
Distributed Time Delays ◽  
Competitive Model ◽  
The Stability ◽  
Lévy Jumps

AbstractThe aim of this paper is to investigate the optimal harvesting strategies of a stochastic competitive Lotka–Volterra model with S-type distributed time delays and Lévy jumps by using ergodic method. Firstly, the sufficient conditions for extinction and stable in the time average of each species are established under some suitable assumptions. Secondly, under a technical assumption, the stability in distribution of this model is proved. Then the sufficient and necessary criteria for the existence of optimal harvesting policy are established under the condition that all species are persistent. Moreover, the explicit expression of the optimal harvesting effort and the maximum of sustainable yield are given.

scholarly journals Permanence of an SIR epidemic model with distributed time delays

2002 ◽  
Vol 54 (4) ◽  
pp. 581-591 ◽  
Author(s):  
Wanbiao Ma ◽  
Yasuhiro Takeuchi ◽  
Tadayuki Hara ◽  
Edoardo Beretta
Keyword(s):  
Epidemic Model ◽  
Time Delays ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Distributed Time Delays
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