Effects of cross-diffusion for a prey-predator system in a heterogeneous environment
| dc.contributor.author | Dong, Yaying | |
| dc.contributor.author | Li, Shanbing | |
| dc.contributor.author | Li, Yanling | |
| dc.date.accessioned | 2021-11-05T15:11:28Z | |
| dc.date.available | 2021-11-05T15:11:28Z | |
| dc.date.issued | 2019-03-22 | |
| dc.description.abstract | This article concerns the stationary problem of a cross-diffusion prey-predator system with a protection zone for the prey. We first give the necessary condition and sufficient condition for the existence of coexistence states of the two species, by applying the bifurcation theory. Furthermore, the asymptotic behavior of coexistence states is established as the cross-diffusion coefficient of the prey tends to infinity. We also analyze the corresponding limiting system. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dong, Y., Li, S., & Li, Y. (2019). Effects of cross-diffusion for a prey-predator system in a heterogeneous environment. <i>Electronic Journal of Differential Equations, 2019</i>(44), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14777 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Prey-predator model | |
| dc.subject | Cross-diffusion | |
| dc.subject | Protection zone | |
| dc.subject | Stationary | |
| dc.title | Effects of cross-diffusion for a prey-predator system in a heterogeneous environment | |
| dc.type | Article |