Results 1 to 10 of about 185 (46)
Periodic solutions of a delayed predator‐prey model with stage structure for predator [PDF]
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 255-270, 2004., 2004 A periodic time‐dependent Lotka‐Volterra‐type predator‐prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.
Rui Xu +2 more
wiley +5 more sources
On a class of differential-algebraic equations with infinite delay [PDF]
, 2011 We study the set of $T$-periodic solutions of a class of $T$-periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay.
Bisconti, Luca, Spadini, Marco
core +16 more sources
Open Mathematics, 2022 This study elucidates the sufficient conditions for the first-order nonlinear differential equations with periodic coefficients and time-varying delays to have positive periodic solutions.
Han Xiaoling, Lei Ceyu
doaj +1 more source
Nonautonomous Dynamical Systems, 2022 In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul +2 more
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Periodic solutions to a class of distributed delay differential equations via variational methods
Advances in Nonlinear Analysis, 2023 In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
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Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales
Moroccan Journal of Pure and Applied Analysis, 2021 In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal +2 more
doaj +1 more source
Recurrent epidemic waves in a delayed epidemic model with quarantine
Journal of Biological Dynamics, 2022 In this paper, we are concerned with an epidemic model with quarantine and distributed time delay. We define the basic reproduction number [Formula: see text] and show that if [Formula: see text], then the disease-free equilibrium is globally ...
Toshikazu Kuniya
doaj +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
doaj +1 more source
Acta Universitatis Sapientiae: Mathematica, 2022 This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is
Guerfi Abderrahim, Ardjouni Abdelouaheb
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Global Attractivity of a Circadian Pacemaker Model in a Periodic Environment [PDF]
, 2005 In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree.
Chen, Yuming, Wang, Lin
core +2 more sources