Nonautonomous Lotka–Volterra Systems with Delays

By Zhidong Teng. 2002

60 citations recorded by the source corpus.

Abstract The paper studies the general nonautonomous Lotka–Volterra multispecies systems with finite delays. The ultimate boundedness, permanence, global attractivity, and existence and uniqueness of strictly positive solutions, positive periodic solutions, and almost periodic solutions are obtained. These results are basically an extension of the known results for nonautonomous Lotka–Volterra multispecies systems without delay to systems with delay.

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/e50aa58f234aeb6dd531ed1d521cdb66161cd1cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Daomin Cao
2. Xianhua Tang
3. Xingfu Zou
4. Sitong Chen
5. Chang-Lin Xiang
6. Shusen Yan
7. Shuangjie Peng
8. Shiwang Ma

In Geometry and Topology

1. Xianhua Tang
2. Daomin Cao
3. Xingfu Zou
4. Shiwang Ma

In Public Health, Environmental and Occupational Health

1. Daomin Cao
2. Xianhua Tang
3. Xingfu Zou
4. Wan-Tong Li
5. Guo Lin
6. Shiwang Ma
7. Shigui Ruan
8. Jianhong Wu

Citations in the corpus

• Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (2006, methodology): “Recently, Teng [47] extended the main results in Redheffer [34] to the following delayed system ẋi (t) = xi(t) [ ri(t) − aii(t)xi(t) − n ∑ j =i aij (t)xj ( t − τij (t) )] , i = 1,2, .”