Dynamical systems in population biology

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Traveling wavefronts for time-delayed reaction-diffusion equation: (II) Nonlocal nonlinearity (2009, background): “See also the review articles [7,8] and the textbooks [32,35,36].”
Dynamics and profiles of a diffusive host–pathogen system with distinct dispersal rates (2018, background): “2 in [29]), we conclude that there exists a δ > 0 such that (t) is uniformly persistent w.”
Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations (2014, background): “the movements of organisms in the systems occur randomly between adjacent spatial locations) (see [1, 2, 3, 6, 17, 18, 22, 27, 28, 38, 41], etc.”
Persistence for stochastic difference equations: a mini-review (2011, background): “Here, boundedness asserts that asymptotically Xt tends to remain in compact sets.”
Global Attractors and Steady States for Uniformly Persistent Dynamical Systems (2005, methodology): “We remark that the notions of attractor and global attractor were used in [11, 22, 30].”
Threshold dynamics in a time-delayed periodic sis epidemic model (2009, background): “, [11, 19]) to prove lim t→∞ (S(t) −N(t)) = 0.”
Propagation dynamics for monotone evolution systems without spatial translation invariance (2020, neutral): “Following [46], we say Q is a subhomogeneous map on [0, r]C if Q[κφ] ≥ κQ[φ] for all (κ, φ) ∈ [0, 1]× [0, r]C .”