Saddle-point behavior for monotone semiflows and reaction–diffusion models☆

By Jifa Jiang, Xing Liang, Xiao-Qiang Zhao. 2004

58 citations recorded by the source corpus.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/cd1219c12c95554b199f85f4453a59c07837ca1e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

In Modeling and Simulation

In Public Health, Environmental and Occupational Health

Citations in the corpus

Asymptotic speed of spread and traveling waves for a nonlocalepidemic model (2005, unknown): “In the case where there are two nontrivial equilibria, system (1) may admit a saddle point structure [9, 11, 15].”
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “For the last two decades there has been tremendous interest, by both mathematicians and ecologists, in two-species Lotka-Volterra competition models with spatially homogeneous or heterogeneous interactions, see [9, 10, 11, 12, 18, 19, 28, 29, 33, 35, 38, 39, 40, 41, 46, 55, 59, 62, 63, 64, 65, 66, 7”
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities (2014, background): “[8] generalized Smith and Thieme’s results to the general monotone semiflows and some reaction–diffusion systems.”
On the effects of migration and spatial heterogeneity on single and multiple species (2006, background): “Such “diffusion-driven extinction” phenomena have been studied in [28,32] (see also [29] for recent work on the separatrix of competitiondiffusion models) where it was proved that there exist some initial data such that without diffusion species 1 drives species 2 to extinction, whereas the opposite”
Dynamics of a Periodically Pulsed Bio-Reactor Model With a Hydraulic Storage Zone (2011, background): “3 (see also [8]), we can prove that for each t > 0, T (t) is an κ-contraction on C([0, L],R2) in the sense that κ(T (t)B) ≤ e− αA AS κ(B), for any bounded subset B of C([0, L],R2), where κ is the Kuratowski measure of noncompactness in the Banach space C([0, L],R2).”