Results 1 to 10 of about 65,693 (292)
Uniform Persistence in Functional Differential Equations
Journal of Differential Equations, 1995 The authors obtain some criteria for uniform persistence in retarded functional differential equations that can represent population interaction models with time delay.
H I Freedman, Shigui Ruan
exaly +4 more sources
Uniform Persistence in Processes With Application to Nonautonomous Competitive Models
Journal of Mathematical Analysis and Applications, 2001 Here, the uniform persistence (permanence) for processes is discussed. A useful lemma is proved for the persistence of single species. It is then generalized to two competing species where sufficient conditions for the uniform persistence are derived.
Zhao, Xiao-Qiang
exaly +4 more sources
Mathematics, 2022 In this paper, we study the global dynamics of a delayed virus dynamics model with apoptosis and both virus-to-cell and cell-to-cell infections. When the basic reproduction number R0>1, we obtain the uniform persistence of the model, and give some ...
Meng Li, Ke Guo, Wanbiao Ma
doaj +4 more sources
Uniform persistence and periodic solutions for a discrete predator–prey system with delays
Journal of Mathematical Analysis and Applications, 2006 This paper deals with a class of discrete predator-prey systems with delay. A sufficient condition for the uniform persistence of the system is first shown, and then, if the coefficients in the system are periodic, the existence of a periodic solution based on the uniform persistence result is obtained by generalizing the Yoshizawa's theorem on the ...
Xitao Yang
exaly +3 more sources
Mathematical modelling and analysis of the adaptive dynamics in mosquito populations: uniform persistence of malaria infection [PDF]
Journal of Mathematical BiologyInternational audienceAbstract In this work, we present a mathematical model for the spread of malaria, incorporating key factors such as human populations, mosquito behavior, and the mosquitoes’ plasticity and adaptation to control measures like ...
Arnaud Ducrot +2 more
exaly +3 more sources
Qualitative Analysis of a Nonautonomous Delayed Stochastic Predator–Prey Model with Beddington–DeAngelis Functional Response [PDF]
BiologyPredator–prey interactions constitute a fundamental dynamic governing population regulation, community structure, and ecosystem stability [...]
Lili Jia, Changyou Wang
doaj +2 more sources
Robust uniform persistence in discrete and continuous nonautonomous systems
Journal of Mathematical Analysis and Applications, 2013 Abstract This is an extension of the work in Salceanu (2011) [14] to nonautonomous systems of difference and differential equations on the positive cone of R m that exhibit a positively invariant boundary hyperplane X . It is shown that when a compact subset of X , which attracts all orbits in X , is a robust uniform ...
exaly +2 more sources
Global dynamics of SVIR epidemic model with distributed delay and imperfect vaccine
Results in Physics, 2021 In this research, we investigate an SVIR system with distributed delay. We first provide some preliminary results on the proprieties of the Volterra function and the well-posedness of the solution, also the existence of a global compact attractor denoted
Salih Djilali, Soufiane Bentout
doaj +1 more source
Analysis of an age-structured dengue model with multiple strains and cross immunity
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Dengue fever is a typical mosquito-borne infectious disease, and four strains of it are currently found. Clinical medical research has shown that the infected person can provide life-long immunity against the strain after recovering from infection with ...
Ting-Ting Zheng +4 more
doaj +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj +1 more source