Zobrazeno 1 - 10
of 84
pro vyhledávání: '"King-Yeung Lam"'
Autor:
King-Yeung Lam, Ray Lee
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 5, Iss 3, Pp 199-221 (2024)
Inspired by a recent study associating shifting temperature conditions with changes in the efficiency with which predators convert prey to offspring, we propose a predator prey model of reaction-diffusion type to analyze the consequence of such effec
Externí odkaz:
https://doaj.org/article/1e0117972a7344988e991a8ee3b7d512
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 1, Iss 2, Pp 150-180 (2020)
We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction–diffusion-advection models, focusing on the persistence, competition, and evolution of organisms in spatially heterogeneous environments. Topics includ
Externí odkaz:
https://doaj.org/article/d9af0c47de1d43c49ba2bcadaba8c864
Publikováno v:
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 4, p1742-1765, 24p
Publikováno v:
Journal of Mathematical Biology. 85
Cancer cells at the tumor boundary move in the direction of the oxygen gradient, while cancer cells far within the tumor are in a necrotic state. This paper introduces a simple mathematical model that accounts for these facts. The model consists of c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fd5199c6a4da8de1c6cb6877cb23464
https://doi.org/10.1007/s00285-022-01813-4
https://doi.org/10.1007/s00285-022-01813-4
Publikováno v:
SIAM Journal on Mathematical Analysis. 53:4933-4964
For any $N \geq 2$, we show that there are choices of diffusion rates $\{d_i\}_{i=1}^N$ such that for $N$ competing species which are ecologically identical and have distinct diffusion rates, the s...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ebd1518d6e964c2f810c044dec3df0e
https://doi.org/10.1137/20m1361419
https://doi.org/10.1137/20m1361419
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 26:1783-1795
We analyze a reaction-diffusion system modeling the competition of multiple phytoplankton species which are limited only by light. While the dynamics of a single species has been well studied, the dynamics of the two-species model has only begun to b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::280ad8f30430db5adb16effe229d5f64
https://doi.org/10.3934/dcdsb.2020361
https://doi.org/10.3934/dcdsb.2020361
Publikováno v:
Journal of Differential Equations. 271:665-718
We investigate the spreading properties of a three-species competition-diffusion system, which is non-cooperative. We apply the Hamilton-Jacobi approach, due to Freidlin, Evans and Souganidis, to establish upper and lower estimates of spreading speed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::837271ce46e6cdb17ecfd04284aa843e
https://doi.org/10.1016/j.jde.2020.09.008
https://doi.org/10.1016/j.jde.2020.09.008
Publikováno v:
SIAM Journal on Applied Mathematics. 81:789-813
A population is said to have an ideal free distribution in a spatially heterogeneous but temporally constant environment if each of its members have chosen a fixed spatial location in a way that optimizes its individual fitness, allowing for the effe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16ccd25d8c7e8512924525f5ccaa131c
https://doi.org/10.1137/20m1332712
https://doi.org/10.1137/20m1332712
Publikováno v:
Communications in Partial Differential Equations
Communications in Partial Differential Equations, In press
Communications in Partial Differential Equations, In press
International audience; The evolution of dispersal is a classical question in evolutionary biology, and it has been studied in a wide range of mathematical models. A selection-mutation model, in which the population is structured by space and a pheno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c0ece18c4e1ebdeb058b0814a779d3c
http://arxiv.org/abs/2205.05534
http://arxiv.org/abs/2205.05534
