Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response
We establish the existence of traveling wave solution for a reaction-diffusion predator-prey system with Holling type-IV functional response. For simplicity, only one space dimension will be involved, the traveling solution equivalent to the heteroclinic orbits in R3. The methods used to prove the r...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/409264 |
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| _version_ | 1832559989399486464 |
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| author | Deniu Yang Lihan Liu Hongyong Wang |
| author_facet | Deniu Yang Lihan Liu Hongyong Wang |
| author_sort | Deniu Yang |
| collection | DOAJ |
| description | We establish the existence of traveling wave solution for a reaction-diffusion predator-prey system with Holling type-IV functional response. For simplicity, only one space dimension will be involved, the traveling solution equivalent to the heteroclinic orbits in R3. The methods used to prove the result are the shooting argument and the invariant manifold theory. |
| format | Article |
| id | doaj-art-a4b47b78060c473b8a1d0d56fcd5fe99 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a4b47b78060c473b8a1d0d56fcd5fe992025-02-03T01:28:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/409264409264Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional ResponseDeniu Yang0Lihan Liu1Hongyong Wang2Polytechnic Institute of Jiangxi Science and Technology Normal University, Nanchang 330038, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400030, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaWe establish the existence of traveling wave solution for a reaction-diffusion predator-prey system with Holling type-IV functional response. For simplicity, only one space dimension will be involved, the traveling solution equivalent to the heteroclinic orbits in R3. The methods used to prove the result are the shooting argument and the invariant manifold theory.http://dx.doi.org/10.1155/2014/409264 |
| spellingShingle | Deniu Yang Lihan Liu Hongyong Wang Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response Abstract and Applied Analysis |
| title | Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response |
| title_full | Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response |
| title_fullStr | Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response |
| title_full_unstemmed | Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response |
| title_short | Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response |
| title_sort | traveling wave solution in a diffusive predator prey system with holling type iv functional response |
| url | http://dx.doi.org/10.1155/2014/409264 |
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