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Asymptotical stability and asymptotic periodicity for the Lasota-Wazewska model of fractional order with infinite delays

open access: yes, 2020
In this paper, we study a class of nonlinear fractional-order LasotaWazewska model with infinite delays. Firstly, we introduce some definitions, lemmas of fraction-order differential equation and a number of properties of Mittag-Leffler function.
Wang, Luyi, Qu, Huizhen
core  

© Hindawi Publishing Corp. PERIODIC SOLUTIONS OF PERIODIC GENERALIZED FOOD LIMITED MODEL

open access: yes, 1999
. By using the continuation theorem of coincidence degree theory, the existence of positive periodic solutions for a periodic generalized food limited model with state dependent delays and distributed delays is studied, respectively.
Yongkun Li
core  

© Hindawi Publishing Corp. PERIODIC SOLUTION FOR A DELAYED THREE-SPECIES FOOD-CHAIN SYSTEM WITH HOLLING TYPE-II FUNCTIONAL RESPONSE

open access: yes, 2002
A delayed three-species periodic food-chain system with Holling type-II functional response is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for ...
Qiming Liu, Rui Xu
core  
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Integral Operators and Delay Differential Equations

Journal of Integral Equations and Applications, 2006
David E Gilsinn, Florian A Potra
exaly  

PERIODICITY IN MUTUALISM SYSTEMS WITH IMPULSE

Taiwanese Journal of Mathematics, 2006
Meng Fan
exaly  

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