논문KCI 등재
Interactive dynamics in a bistable attraction-repulsion chemotaxis system
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We consider a bistable attraction-repulsion chemotaxis system in one dimension. The study in this paper asserts that conditions for chemotactic coefficients for attraction and repulsion to show existence of stationary solutions and Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.
Abstract
We consider a bistable attraction-repulsion chemotaxis system in one dimension. The study in this paper asserts that conditions for chemotactic coefficients for attraction and repulsion to show existence of stationary solutions and Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.
참고문헌 (17)
- M.Aida, "Lower estimate of the attractor dimension for a chemotaxis growth system", J. London Math. Soc, 74, pp.453~474 (2006)
- M.G.Crandall, "The Hopf Bifurcation Theorem in Infinite Dimensions", Arch. Rat. Mech. Anal, 67, pp.53~72 (1978)
- P.Fife, "Dynamics of internal layers and diffusive interfaces", CMBS-NSF Regional Conference Series in Applied Mathematics, 53 (1988), SIAM
- Y.M.Ham, "A Hopf bifurcation in a parabolic free boundary problem", J. of Comput. Appl. Math, 52, pp.305~324 (1994)
- K.Ikeda, "Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion", Commun. Pur. Appl. Anal, 11, pp.275~305 (2012)
- Hai-Yang Jin, "Boundedness, blowup and critical mass phenomenon in competing chemotaxis", Journal of Differential Equations, 260(1), pp.162~196 (2016), Elsevier BV[DOI]
- S.Kawaguchi, "Chemotaxis-growth under the in uence of lateral inhibition in a three-component reaction-diffusion system", Nonlinearity, 24, pp.1011~1031 (2011)
- J.P.Keener, "A geometrical theory for spiral waves in excitable media", SIAM J. Appl. Math, 46, pp.1039~1056 (1986)
- E.F.Keller, "Initiation of slime mold aggregation viewed as an instability", J. Theor. Biol, 26, pp.399~415 (1970)
- J. Liu, "Classical solutions and steady states of an attraction-repulsion chemotaxis model in one dimension", J. Biol. Dyn, 6, pp.31~41 (2012)
- M.Luca, "Chemotactic signalling, microglia, and alzheimer's disease senile plague: is there a connection?", Bull. Math. Biol, 65, pp.215~225 (2003)
- H. P. McKean, "Nagumo's equation", Adv. in Math, 4, pp.209~223 (1975)
- M.Mimura, "Aggregating pattern dynamics in a chemotaxis model including growth", Physica A, 230, pp.499~543 (1996)
- H.Mori, "Global existence of the Cauchy problem for a chemotactic system with prey-predator dynamics", Hiroshima Math. J, 36, pp.77~111 (2006)
- K.Painter, "Volume-filling and quorum-sensing in models for chemosensitive movement", Can. Appl. Math. Quart, 10, pp.501~543 (2002)
- YOUSHAN TAO, "COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS", Mathematical Models and Methods in Applied Sciences, 23(01), pp.1~36 (2013), World Scientific Pub Co Pte Lt[DOI]
- T.Tsujikawa, "Singular limit analysis of planar equilibrium solutions to a chemo-taxis model equation with growth", Methods Appl. Anal, 3, pp.401~431 (1996)
관련 논문AI추천
A Hopf bifurcation in an attraction-attraction chemotaxis system with global coupling함윤미강원경기수학회 · 한국수학논문집2023 · 제31권 제2호A HOPF BIFURCATION OF MULTIDIMENSIONAL ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH NONLINEAR SENSITIVE FUNCTIONS한윤미강원경기수학회 · 한국수학논문집2025 · 제33권 제3호Numerical Nonlinear Stability of Traveling Waves for a Chemotaxis Model이민기경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Bifurcation analysis of a single species reaction-diffusion model with nonlocal delayJun Zhou대한수학회 · 대한수학회지2020 · 제57권 제1호Dynamical bifurcation of the one-dimensional convective Cahn-Hilliard equation최윤철강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Global existence and asymptotic behavior of periodic solutions to a fractional chemotaxis system on the weakly competitive caseLing Zhou, Yuzhu Lei, Zuhan Liu대한수학회 · 대한수학회보2020 · 제57권 제5호
이 간행물의 다른 논문 (7건)
Inclusion properties of a class of functions involving the Dziok-Srivastava operatorH. M. Srivastava, Satwanti Devi, A. Swaminathanpp. 139-168Fixed point theorems in ordered dualistic partial metric spacesMuhammad Arshad, Ismat Beg, Muhammad Nazampp. 169-179System of generalized nonlinear regularized nonconvex variational inequalitiesSalahuddinpp. 181-198A resolvent approach for solving a set-valued variational inclusion problem using weak-RRD set-valued mappingIqbal Ahmad, Javid Iqbal, Rais Ahmadpp. 199-213Generalized wavelets and the generalized wavelet transform on $\mathbb{R}^d$ for the Heckman-Opdam theoryRayaane Maalaoui, Khalifa Trimeche, Amina Hassinipp. 235-271
