Mass concentration in a nonlocal model of clonal selection-Reference-Cited by-同舟云学术

Mass concentration in a nonlocal model of clonal selection

Published:2016-03-03 Issue:4 Volume:73 Page:1001-1033
ISSN:0303-6812
Container-title:Journal of Mathematical Biology
language:en
Short-container-title:J. Math. Biol.

Author:

Busse J.-E.,Gwiazda P.,Marciniak-Czochra A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00285-016-0979-3.pdf

Reference56 articles.

1. Ackleh AS et al (1999) Survival of the fittest in a generalized logistic model. Math Models Methods Appl Sci 9(09):1379–1391

2. Ackleh AS, Fitzpatrick B, Thieme H (2005) Rate distributions and survival of the fittest: a formulation on the space of measures. Discrete Contin Dyn Syst Ser B 5(4):917–928

3. Ambrosio L, Fusco N, Pallara D (2000) Functions of bounded variation and free discontinuity problems. Oxford Math. Monogr

4. Baer SM, Kooi BW, Kuznetsov YA, Thieme HR (2006) Multiparametric bifurcation analysis of a basic two-stage population model. SIAM J Appl Math 66:1339–1365

5. Barles G, Mirrahimi S, Perthame B (2009) Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Methods Appl Anal (MAA) 16:321–340

Cited by 27 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations;Mathematical Models and Methods in Applied Sciences;2023-11-08

2. Measure framework for the pure selection equation: global well posedness and numerical investigations;MathematicS In Action;2023-09-26

3. Mathematics of neural stem cells: Linking data and processes;Cells & Development;2023-06

4. Multiplicity of Time Scales in Blood Cell Formation and Leukemia;Mathematics Online First Collections;2023

5. Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation;Journal of Mathematical Biology;2022-01