Results 11 to 20 of about 403 (206)
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay
Boundary Value ProblemsThis study examines traveling wave solutions of the SIS epidemic model with nonlocal dispersion and delay. The research shows that a key factor in determining whether traveling waves exist is the basic reproduction number R 0 $R_{0}$ . In particular, the
Rassim Darazirar +4 more
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Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.
Elaine Crooks, Michael Grinfeld
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Minimal wave speed of competitive diffusive systems with time delays
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo Lin
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Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model [PDF]
Abstract and Applied Analysis, 2013 We investigate the traveling wave solutions in a reaction-diffusion epidemic model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions.
Sheng Wang +3 more
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Spreading Speed in A Nonmonotone Equation with Dispersal and Delay
Mathematics, 2019 This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is given.
Xi-Lan Liu, Shuxia Pan
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Traveling waves and spreading speed on a lattice model with age structure
Electronic Journal of Differential Equations, 2012 In this article, we study a lattice differential model for a single species with distributed age-structure in an infinite patchy environment. Using method of approaches by Diekmann and Thieme, we develop a comparison principle and construct a suitable
Zongyi Wang
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Electronic Journal of Differential Equations, 2019 This article concerns a three-component delayed lattice dynamical system arising in competition models. In such models, traveling wave solutions serve an important tool to understand the competition mechanism, i.e.
Pei Gao, Shi Liang Wu
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Asymptotic speed of spreading in a delay lattice differential equation without quasimonotonicity
Electronic Journal of Differential Equations, 2014 This article concerns the asymptotic speed of spreading in a delay lattice differential equation without quasimonotonicity. We obtain the speed of spreading by constructing an auxiliary undelayed equation, whose speed of spreading is the same as ...
Fuzhen Wu
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Minimal wave speed of a nonlocal diffusive epidemic model with temporal delay
Rocky Mountain Journal of Mathematics, 2014 This paper is concerned with the traveling wave solutions of an epidemic model with nonlocal dispersal and time delay. By a characteristic equation, a threshold is defined. If the wave speed is larger than the threshold, the existence of traveling wave solutions is proved by combining upper-lower solutions with monotone iteration.
Zhang, Guosheng, Wang, Yifu
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A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we prove a new estimate of the threshold wave speed for traveling wavefronts of the reaction–diffusion–convection equations of the type \[v_\tau + h(v) v_x= \left[ D(v)v_x \right]_x + f(v) \] where \(h\) is a convective term, \(D\) is a ...
Cristina Marcelli, Francesca Papalini
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