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Publikováno v:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2020)
We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence of monotone wavefronts. I
Externí odkaz:
http://arxiv.org/abs/1902.06280
Autor:
Trofimchuk, Sergei, Volpert, Vitaly
Publikováno v:
SIAM Journal on Mathematical Analysis 50 (2018), 1175-1199
The paper is devoted to a reaction-diffusion equation with delay arising in modelling the immune response. We prove the existence of travelling waves in the bistable case using the Leray-Schauder method. In difference with the previous works, we do n
Externí odkaz:
http://arxiv.org/abs/1701.08560
We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence of monotone wavefronts. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e43cc0b1d9ba347597cc634ff403a252
http://arxiv.org/abs/1902.06280
http://arxiv.org/abs/1902.06280
Autor:
Sergei Trofimchuk, Vitaly Volpert
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (1), pp.1175-1199. ⟨10.1137/17M1115587⟩
SIAM Journal on Mathematical Analysis, 2018, 50 (1), pp.1175-1199. ⟨10.1137/17M1115587⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (1), pp.1175-1199. ⟨10.1137/17M1115587⟩
SIAM Journal on Mathematical Analysis, 2018, 50 (1), pp.1175-1199. ⟨10.1137/17M1115587⟩
The paper is devoted to a reaction-diffusion equation with delay arising in modelling the immune response. We prove the existence of travelling waves in the bistable case using the Leray-Schauder method. In difference with the previous works, we do n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9953bee99eb76d7eca23a6af8edcd50
https://hal.archives-ouvertes.fr/hal-01941474
https://hal.archives-ouvertes.fr/hal-01941474
Autor:
Gourley, Stephen A.1 s.gourley@surrey.ac.uk, Rongsong Liu2 rliu@math.purdue.edu, Jianhong Wu3 wujh@mathstat.yorku.ca
Publikováno v:
SIAM Journal on Applied Mathematics. 2007, Vol. 67 Issue 2, p408-433. 26p. 1 Chart, 4 Graphs.
Autor:
TROFIMCHUK, SERGEI, VOLPERT, VITALY
Publikováno v:
SIAM Journal on Mathematical Analysis; 2018, Vol. 50 Issue 1, p1175-1199, 25p