منابع مشابه
Periodic oscillations in a delay population model
In this paper, a nonlinear delay population model is investigated. Choosing the delay as a bifurcation parameter, we demonstrate that Hopf bifurcation will occur when the delay exceeds a critical value. Global existence of bifurcating periodic solutions is established. Numerical simulations supporting the theoretical findings are included. Keywords—Population model; Stability; Hopf bifurcation;...
متن کاملPeriodic solution for a delay nonlinear population equation with feedback control and periodic external source
In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides the extension of some previous results obtained in other studies. We give a illustrative e...
متن کاملperiodic solution for a delay nonlinear population equation with feedback control and periodic external source
in this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. nonlinear system affected by an periodic external source is studied. existence of a control variable provides the extension of some previous results obtained in other studies. we give a illustrative e...
متن کاملPositive periodic solutions for neutral multi-delay logarithmic population model
* Correspondence: csutmlang@163. com School of Mathematical Science and Computing Technology, Central South University, Changsha, 410083, China Abstract Based on an abstract continuous theorem of k-set contractive operator and some analysis skill, a new result is obtained for the existence of positive periodic solutions to a neutral multi-delay logarithmic population model. Some sufficient cond...
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and Applied Analysis 3 The following lemma 11, page 213 will play a key role in this paper. Lemma 2.2. Let L be a Fredholm mapping of index zero and let N : Ω → Z be L-k-set contractive on Ω, k < 1. Suppose i Lx/ λNx for every x ∈ domL ∩ ∂Ω and every λ ∈ 0, 1 ; ii QNx/ 0 for every x ∈ ∂Ω ∩ KerL; iii Brouwer degree degB JQN, Ω ∩ KerL, 0 / 0. Then Lx Nx has at least one solution in domL ∩Ω. 3. Ma...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1994
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1262316