Results 41 to 50 of about 45,848 (283)
Spatial assortment of mixed propagules explains the acceleration of range expansion. [PDF]
PLoS ONE, 2014 Range expansion of spreading organisms has been found to follow three types: (i) linear expansion with a constant rate of spread; (ii) bi-phase expansion with a faster linear expansion following a slower linear expansion; and (iii) accelerating expansion
Andriamihaja Ramanantoanina +2 more
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Nonlinear waves in disordered chains: probing the limits of chaos and spreading
, 2011 We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL {\bf 91 ...
Bodyfelt, J. D. +4 more
core +1 more source
Persistence time of SIS infections in heterogeneous populations and networks [PDF]
, 2017 For a susceptible-infectious-susceptible (SIS) infection model in a heterogeneous population, we present simple formulae giving the leading-order asymptotic (large population) behaviour of the mean persistence time, from an endemic state to extinction of
Clancy, Damian
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Asymptotically symmetric spaces with hereditarily non-unique spreading models
Proceedings of the American Mathematical Society, 2020 We examine a variant of a Banach space $\mathfrak{X}_{0,1}$ defined by Argyros, Beanland, and the second named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first ...
Kutzarova, Denka, Motakis, Pavlos
openaire +2 more sources
Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries
MathematicsIn this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves,
Lingyu Liu, Xiaobo Li, Pengcheng Li
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Dynamics of a delayed rumor spreading model with discontinuous threshold control
Heliyon, 2022 In this paper, we studied a delayed rumor spreading model with discontinuous threshold control. First, we studied the existence of equilibria of the subsystem.
Chunru Li, Zujun Ma, Yuanyuan Wang
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Stability Analysis of a Rumor-Spreading Model with Two Time Delays and Saturation Effect
MathematicsTime delay and nonlinear incidence functions have a significant effect on rumor-spreading. In this article, a rumor-spreading model with two unequal time delays and a saturation effect is proposed.
Chunfeng Wei +4 more
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Minimal wave speed of competitive lattice dynamical systems with delays
Advances in Difference Equations, 2018 This paper deals with the minimal wave speed of delayed lattice dynamical systems. We obtain the minimal wave speed by presenting the existence and nonexistence of traveling wave solutions, which completes the earlier results.
Shuxia Pan, Hong-Bo Shi
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上海师范大学学报. 自然科学版We consider the asymptotic behavior of solutions to the porous medium equation with a positive bistable type reaction term and Dirichlet boundary condition. We first prove a convergence result.
LI Fang +3 more
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Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term
Journal of Applied Mathematics, 2014 We study a free boundary problem for a reaction diffusion equation modeling the spreading of a biological or chemical species. In this model, the free boundary represents the spreading front of the species.
Jingjing Cai
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