Dynamics and pattern formation in diffusive predator-prey models with predator-taxis
| dc.contributor.author | Sun, Zhongyuan | |
| dc.contributor.author | Wang, Jinfeng | |
| dc.date.accessioned | 2021-09-22T18:03:37Z | |
| dc.date.available | 2021-09-22T18:03:37Z | |
| dc.date.issued | 2020-04-23 | |
| dc.description.abstract | We consider a three-species predator-prey system in which the predator has a stage structure and the prey moves to avoid the mature predator, which is called the predator-taxis. We obtain the existence and uniform-in-time boundedness of classical global solutions for the model in any dimensional bounded domain with the Neumann boundary conditions. If the attractive predator-taxis coefficient is under a critical value, the homogenerous positive steady state maintains its stability. Otherwise, the system may generate Hopf bifurcation solutions. Our results suggest that the predator-taxis amplifies the spatial heterogeneity of the three-species predator-prey system, which is different from the effect of that in two-species predator-prey systems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sun, Z., & Wang, J. (2020). Dynamics and pattern formation in diffusive predator-prey models with predator-taxis. <i>Electronic Journal of Differential Equations, 2020</i>(36), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14540 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Predator-prey | |
| dc.subject | Predator-taxis' global solution | |
| dc.subject | Spatial pattern | |
| dc.title | Dynamics and pattern formation in diffusive predator-prey models with predator-taxis | |
| dc.type | Article |