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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |