Results 1 to 10 of about 45,577 (123)
Propagation dynamics in an SIRS model with general incidence functions
Mathematical Biosciences and Engineering, 2023 This paper studies the initial value problems and traveling wave solutions in an SIRS model with general incidence functions. Linearizing the infected equation at the disease free steady state, we can define a threshold if the corresponding basic ...
Wenhao Chen , Guo Lin, Shuxia Pan
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A free boundary problem with a Stefan condition for a ratio-dependent predator-prey model
AIMS Mathematics, 2021 In this paper we study a ratio-dependent predator-prey model with a free boundary caused by predator-prey interaction over a one dimensional habitat. We study the long time behaviors of the two species and prove a spreading-vanishing dichotomy; namely ...
Lingyu Liu , Alexander Wires
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Asymptotic Behavior for Radially Symmetric Solutions of a Logistic Equation with a Free Boundary
Mathematical Modelling and Analysis, 2017 In this paper we investigate a logistic equation with a new free boundary condition appearing in ecology, we aim to describe the spreading of a new or invasive species by studying the asymptotic behavior of the radially symmetric solutions of the problem.
Jingjing Cai, Quanjun Wu
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Drop spreading with random viscosity [PDF]
, 2016 We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute is assumed to
Jensen, Oliver E., Xu, Feng
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Spreading speeds of epidemic models with nonlocal delays
Mathematical Biosciences and Engineering, 2019 We estimate the spreading speeds in diffusive epidemic models with nonlocal delays, nonlinear incidence rate and constant recruitment rate. The purpose is to model the process that the infective invades the habitat of the susceptible, and they coexist ...
Guo Lin, Shuxia Pan, Xiang-Ping Yan
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Rumor spreading dynamics with an online reservoir and its asymptotic stability
Networks and Heterogeneous Media, 2021 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
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From nonwetting to prewetting: the asymptotic behavior of 4He drops on alkali substrates [PDF]
, 2003 We investigate the spreading of 4He droplets on alkali surfaces at zero temperature, within the frame of Finite Range Density Functional theory. The equilibrium configurations of several 4He_N clusters and their asymptotic trend with increasing particle ...
A. Chizmeshya +48 more
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Vertical Round Buoyant Jets and Fountains in a Linearly, Density-Stratified Fluid
Fluids, 2020 Turbulent round buoyant jets and fountains issuing vertically into a linearly density-stratified calm ambient have been investigated in a series of laboratory experiments.
Panos N. Papanicolaou +1 more
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On some Free Boundary Problems of the Prey-predator Model [PDF]
, 2014 In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
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Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker ...
Shuxia Pan, Jie Liu
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