| Autor: |
GORO AKAGI, IZUMI TAKAG, CONGHUI ZHANG |
| Předmět: |
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| Zdroj: |
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 2, p1996-2033, 38p |
| Abstrakt: |
This paper deals with a receptor-based model which arises from the modeling of interactions between intracellular processes and diffusible signaling factors. We prove the existence of stationary solutions with jump discontinuity by a variational method. Then a singular perturbation problem with discontinuous nonlinearity is studied based on the patching argument and the implicit function theorem, to obtain a solution with a single transition layer. Moreover, we derive a sufficient condition for the stability of stationary solutions with jump discontinuity. In addition, some numerical simulations are presented to illustrate the theoretical results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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