Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility
We are concerned with stationary solutions of a Keller-Segel Model with density-suppressed motility and without cell proliferation. we establish the existence and the analytical approximation of non-constant stationary solutions by applying the phase plane analysis and bifurcation analysis. We show...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2019-09-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/8120 |
| Summary: | We are concerned with stationary solutions of a Keller-Segel
Model with density-suppressed motility and without cell proliferation. we establish the existence and the analytical approximation of non-constant stationary solutions by applying the phase plane analysis and bifurcation analysis. We show that the one-step solutions is stable and two or more-step solutions are always unstable. Then we further show that two or more-step solutions possess metastability. Our analytical results are corroborated by direct simulations of the underlying system. |
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| ISSN: | 2563-1926 |