Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms
By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. Finally, an example is given to illustrate the effectiveness o...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/198927 |
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| _version_ | 1832560260872667136 |
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| author | Zhouhong Li |
| author_facet | Zhouhong Li |
| author_sort | Zhouhong Li |
| collection | DOAJ |
| description | By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. Finally, an example is given to illustrate the effectiveness of our results. |
| format | Article |
| id | doaj-art-973cb14412f444efad21bb4b79e08ac0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-973cb14412f444efad21bb4b79e08ac02025-02-03T01:28:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/198927198927Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting TermsZhouhong Li0Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, ChinaBy applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. Finally, an example is given to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2013/198927 |
| spellingShingle | Zhouhong Li Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms Discrete Dynamics in Nature and Society |
| title | Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms |
| title_full | Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms |
| title_fullStr | Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms |
| title_full_unstemmed | Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms |
| title_short | Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms |
| title_sort | existence of multiple positive periodic solutions to two species parasitical model with impulsive effects and harvesting terms |
| url | http://dx.doi.org/10.1155/2013/198927 |
| work_keys_str_mv | AT zhouhongli existenceofmultiplepositiveperiodicsolutionstotwospeciesparasiticalmodelwithimpulsiveeffectsandharvestingterms |