Dynamics of a Predator-Prey System with Mixed Functional Responses
A predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/536019 |
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| _version_ | 1832568130517336064 |
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| author | Hunki Baek Dongseok Kim |
| author_facet | Hunki Baek Dongseok Kim |
| author_sort | Hunki Baek |
| collection | DOAJ |
| description | A predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about equilibrium points and stabilities of two subsystems without one of the preys of system. Also, persistence conditions of system are found out and some numerical examples are illustrated to substantiate our theoretical results. |
| format | Article |
| id | doaj-art-1fcb3985347649309882b4c71164d40a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1fcb3985347649309882b4c71164d40a2025-02-03T00:59:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/536019536019Dynamics of a Predator-Prey System with Mixed Functional ResponsesHunki Baek0Dongseok Kim1Department of Mathematics Education, Catholic University of Daegu, Gyeongsan, Gyeongbuk 712-702, Republic of KoreaDepartment of Mathematics, Kyonggi University, Suwon 443-760, Republic of KoreaA predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about equilibrium points and stabilities of two subsystems without one of the preys of system. Also, persistence conditions of system are found out and some numerical examples are illustrated to substantiate our theoretical results.http://dx.doi.org/10.1155/2014/536019 |
| spellingShingle | Hunki Baek Dongseok Kim Dynamics of a Predator-Prey System with Mixed Functional Responses Journal of Applied Mathematics |
| title | Dynamics of a Predator-Prey System with Mixed Functional Responses |
| title_full | Dynamics of a Predator-Prey System with Mixed Functional Responses |
| title_fullStr | Dynamics of a Predator-Prey System with Mixed Functional Responses |
| title_full_unstemmed | Dynamics of a Predator-Prey System with Mixed Functional Responses |
| title_short | Dynamics of a Predator-Prey System with Mixed Functional Responses |
| title_sort | dynamics of a predator prey system with mixed functional responses |
| url | http://dx.doi.org/10.1155/2014/536019 |
| work_keys_str_mv | AT hunkibaek dynamicsofapredatorpreysystemwithmixedfunctionalresponses AT dongseokkim dynamicsofapredatorpreysystemwithmixedfunctionalresponses |