Almost Periodic Solutions of Prey-Predator Discrete Models with Delay
The purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system x1(n+1)=x1(n)exp⁡{b1(n)−a1(n)x1(n)−c2(n)∑s=−∞...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/976865 |
| _version_ | 1828419991844683776 |
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| author | Tomomi Itokazu Yoshihiro Hamaya |
| author_facet | Tomomi Itokazu Yoshihiro Hamaya |
| author_sort | Tomomi Itokazu |
| collection | DOAJ |
| description | The purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system x1(n+1)=x1(n)exp⁡{b1(n)−a1(n)x1(n)−c2(n)∑s=−∞nK2(n−s)x2(s)}, x2(n+1)=x2(n)exp⁡{−b2(n)−a2(n)x2(n)+c1(n)∑s=−∞nK1(n−s)x1(s)} and a competitive system xi(n+1)=xi(n)exp⁡{bi(n)−aiixi(n)−∑j=1,j≠il∑s=−∞nKij(n−s)xj(s)}, by using certain stability properties, which are referred to as (K,ρ)-weakly uniformly asymptotic stable in hull and (K,ρ)-totally stable. |
| first_indexed | 2024-12-10T15:04:15Z |
| format | Article |
| id | doaj.art-06032c2d8ee447a19686aac4d06c9940 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T15:04:15Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-06032c2d8ee447a19686aac4d06c99402022-12-22T01:44:06ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/976865Almost Periodic Solutions of Prey-Predator Discrete Models with DelayTomomi ItokazuYoshihiro HamayaThe purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system x1(n+1)=x1(n)exp⁡{b1(n)−a1(n)x1(n)−c2(n)∑s=−∞nK2(n−s)x2(s)}, x2(n+1)=x2(n)exp⁡{−b2(n)−a2(n)x2(n)+c1(n)∑s=−∞nK1(n−s)x1(s)} and a competitive system xi(n+1)=xi(n)exp⁡{bi(n)−aiixi(n)−∑j=1,j≠il∑s=−∞nKij(n−s)xj(s)}, by using certain stability properties, which are referred to as (K,ρ)-weakly uniformly asymptotic stable in hull and (K,ρ)-totally stable.http://dx.doi.org/10.1155/2009/976865 |
| spellingShingle | Tomomi Itokazu Yoshihiro Hamaya Almost Periodic Solutions of Prey-Predator Discrete Models with Delay Advances in Difference Equations |
| title | Almost Periodic Solutions of Prey-Predator Discrete Models with Delay |
| title_full | Almost Periodic Solutions of Prey-Predator Discrete Models with Delay |
| title_fullStr | Almost Periodic Solutions of Prey-Predator Discrete Models with Delay |
| title_full_unstemmed | Almost Periodic Solutions of Prey-Predator Discrete Models with Delay |
| title_short | Almost Periodic Solutions of Prey-Predator Discrete Models with Delay |
| title_sort | almost periodic solutions of prey predator discrete models with delay |
| url | http://dx.doi.org/10.1155/2009/976865 |
| work_keys_str_mv | AT tomomiitokazu almostperiodicsolutionsofpreypredatordiscretemodelswithdelay AT yoshihirohamaya almostperiodicsolutionsofpreypredatordiscretemodelswithdelay |