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Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries
Electronic Research Archive, 2022 In this paper, we consider a reaction-diffusion epidemic model with nonlocal diffusion and free boundaries, which generalises the free-boundary epidemic model by Zhao et al. [1] by including spatial mobility of the infective host population.
Ting-Ying Chang, Yihong Du
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Spatial propagation for a reaction-diffusion SI epidemic model with vertical transmission
Mathematical Biosciences and Engineering, 2021 In this paper, we focus on spreading speed of a reaction-diffusion SI epidemic model with vertical transmission, which is a non-monotone system. More specifically, we prove that the solution of the system converges to the disease-free equilibrium as $ t \
Lin Zhao , Haifeng Huo
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Dynamic behavior of swine influenza transmission during the breed-slaughter process
Mathematical Biosciences and Engineering, 2020 Global influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process.
Fangyuan Chen, Rong Yuan
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Journal of Natural Fibers, 2021 This study discusses the effect of modified yarn path in ring spinning such as straight path, left diagonal path and right diagonal path on moisture management properties of the cotton fabric like wetting time, absorption time, spreading area, spreading ...
A. Jebastin Rajwin, C. Prakash
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Initial spreading of low-viscosity drops on partially wetting surfaces [PDF]
, 2012 Liquid drops start spreading directly after brought into contact with a partial wetting substrate. Although this phenomenon involves a three-phase contact line, the spreading motion is very fast.
Eddi, Antonin +3 more
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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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Spatial dynamics for a model of epidermal wound healing
Mathematical Biosciences and Engineering, 2014 In this paper, we consider the spatial dynamics for a non-cooperative diffusion system arising from epidermal wound healing.We shall establish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest ...
Haiyan Wang, Shiliang Wu
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Experimental study of liquid droplets impact on powder surface: The application of effective dimensionless parameters in analysis [PDF]
E3S Web of Conferences, 2022 Spreading dynamics of liquid droplets impacting onto powder bed are experimentally studied using high-speed photography. Dimensionless numbers—We, Re, the modified We* and Re∗ corrected by substrate deformation—are used to analyze the impact behaviors of
Li Siqi, Yu Hourong, Fang Haisheng
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Persistence versus extinction for two competing species under a climate change
Nonlinear Analysis, 2017 This paper considers effects of a climate-induced range shift on outcomes of two competitive species, which is modeled by a reaction–diffusion system with the increasing growth rates of species along a shifting habitat gradient. Analytical conditions are
Zewei Zhang, Wendi Wang, Jiangtao Yang
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Effect of Contact Angle Hysteresis on Evaporation Dynamics of a Sessile Drop on a Heated Surface [PDF]
Journal of Applied Fluid Mechanics, 2022 Contact angle hysteresis (CAH) is a significant factor affecting the drop motion on solid substrates. A model of CAH is introduced to explore the influence of CAH on the dynamics of a sessile drop on a uniformly heated surface, and a two-dimensional ...
X. M. Ye +3 more
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