Stability Analysis of a Two-Patch Competition Model with Dispersal Delays
In this paper, we study a Lotka-Volterra competition model with two competing species moving randomly between two identical patches. A constant dispersal delay is incorporated into the dispersal process for each species. We show that the dispersal delays do not affect the stability and instability o...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/3159591 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563701289320448 |
|---|---|
| author | Guowei Sun Ali Mai |
| author_facet | Guowei Sun Ali Mai |
| author_sort | Guowei Sun |
| collection | DOAJ |
| description | In this paper, we study a Lotka-Volterra competition model with two competing species moving randomly between two identical patches. A constant dispersal delay is incorporated into the dispersal process for each species. We show that the dispersal delays do not affect the stability and instability of all four symmetric equilibria. Numerical simulations are presented to demonstrate the effect of dispersal delays on the stability and instability of the symmetric coexistence equilibrium. |
| format | Article |
| id | doaj-art-3ed41dde8fc74f36b6317ec96993b438 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3ed41dde8fc74f36b6317ec96993b4382025-02-03T01:12:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/31595913159591Stability Analysis of a Two-Patch Competition Model with Dispersal DelaysGuowei Sun0Ali Mai1School of Mathematics and Information Technology, Yuncheng University, Shanxi, Yuncheng 044000, ChinaSchool of Mathematics and Information Technology, Yuncheng University, Shanxi, Yuncheng 044000, ChinaIn this paper, we study a Lotka-Volterra competition model with two competing species moving randomly between two identical patches. A constant dispersal delay is incorporated into the dispersal process for each species. We show that the dispersal delays do not affect the stability and instability of all four symmetric equilibria. Numerical simulations are presented to demonstrate the effect of dispersal delays on the stability and instability of the symmetric coexistence equilibrium.http://dx.doi.org/10.1155/2019/3159591 |
| spellingShingle | Guowei Sun Ali Mai Stability Analysis of a Two-Patch Competition Model with Dispersal Delays Discrete Dynamics in Nature and Society |
| title | Stability Analysis of a Two-Patch Competition Model with Dispersal Delays |
| title_full | Stability Analysis of a Two-Patch Competition Model with Dispersal Delays |
| title_fullStr | Stability Analysis of a Two-Patch Competition Model with Dispersal Delays |
| title_full_unstemmed | Stability Analysis of a Two-Patch Competition Model with Dispersal Delays |
| title_short | Stability Analysis of a Two-Patch Competition Model with Dispersal Delays |
| title_sort | stability analysis of a two patch competition model with dispersal delays |
| url | http://dx.doi.org/10.1155/2019/3159591 |
| work_keys_str_mv | AT guoweisun stabilityanalysisofatwopatchcompetitionmodelwithdispersaldelays AT alimai stabilityanalysisofatwopatchcompetitionmodelwithdispersaldelays |