Results 31 to 40 of about 3,595 (260)

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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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, Aziz Ouhinou, Cang Hui   +2 more
doaj   +1 more source

Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries

Mathematics
In 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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A diffusive stage-structured model with a free boundary

Boundary Value Problems, 2018
In this paper we mainly consider a free boundary problem for a single-species model with stage structure in a radially symmetric setting. In our model, the individuals of a new or invasive species are classified as belonging either to the immature or to ...
Jingfu Zhao, Changming Song, Hongtao Zhang   +2 more
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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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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations

Memoirs of the American Mathematical Society, 2022
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations:
Berestycki, Henri, Nadin, Grégoire
openaire   +2 more sources

Stability Analysis of a Rumor-Spreading Model with Two Time Delays and Saturation Effect

Mathematics
Time 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, Chunlong Fu, Xiaofan Yang, Yang Qin, Luxing Yang   +4 more
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Rumor spreading dynamics with an online reservoir and its asymptotic stability

Networks & Heterogeneous Media, 2021
<p style='text-indent:20px;'>The spread of rumors is a phenomenon that has heavily impacted society for a long time. Recently, there has been a huge change in rumor dynamics, through the advent of the Internet. Today, online communication has become as common as using a phone.
Sun-Ho Choi, Hyowon Seo
openaire   +3 more sources

Convergence of solutions to the degenerate reaction diffusion equation with Dirichlet boundary condition

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, LI Xin, XIAHOU Zhen, XIE Jiangting   +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
doaj   +1 more source