Existence of positive periodic solutions for neutral logarithmic population model with multiple delays

New Result on the Existence of Positive Periodic Solutions to Neutral Population Model with Multiple Delays

Positive 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...

Existence of positive 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...

Existence of Two Positive Periodic Solutions for a Neutral Multi-Delay Logarithmic Population Model with a Periodic Harvesting Rate

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...

Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi-Species Logarithmic Population Model with Multiple Delays and Impulses

In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and ge...