A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains

By Joseph W.-H. So, Jianhong Wu, Xingfu Zou. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001

347 citations recorded by the source corpus.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b0d49aa896834f25004102a30ebee1fffb5d9acd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Wan-Tong Li
2. Shigui Ruan
3. Zhi-Cheng Wang
4. Guo Lin
5. Jianhong Wu
6. Xingfu Zou
7. Shiwang Ma
8. Ming Mei

In Modeling and Simulation

1. Wan-Tong Li
2. Shiwang Ma
3. Shigui Ruan
4. Xingfu Zou
5. Zhi-Cheng Wang
6. Jianhua Huang
7. Jianhong Wu
8. Haiyan Wang

In Public Health, Environmental and Occupational Health

1. Wan-Tong Li
2. Shigui Ruan
3. Xingfu Zou
4. Zhi-Cheng Wang
5. Guo Lin
6. Shiwang Ma
7. Jianhong Wu
8. Haiyan Wang

Citations in the corpus

• Wavefronts and global stability in a time-delayed population model with stage structure (2003, background): “So et al. (2001) proved existence of a travelling-front solution to another equation with spatio-temporal delay, but their proof does depend heavily on the structure of their particular equation and their ideas do not seem to adapt to the equation of the present paper.”
• Propagation and its failure in a lattice delayed differential equation with global interaction (2005, neutral): “[22] recently derived the following delayed reaction–equation model:”
• Existence, Uniqueness and Asymptotic Stability of Traveling Wavefronts in A Non-Local Delayed Diffusion Equation (2007, background): “[8] for more details and some specific forms of f , obtained from integration along characteristic equations of a structured population model and following the pioneering work of Smith and Thieme [6] (see also ref.”
• Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type (2002, background): “We also refer a reader to [15] where the traveling wave fronts of (1.”
• Traveling wavefronts for time-delayed reaction-diffusion equation: (II) Nonlocal nonlinearity (2009, methodology): “The existence of traveling wavefronts for the local equation (1.7) and the nonlocal equation (1.1) were obtained by So and Zou [29], So, Wu and Zou [ 26 ] and Liang and Wu [14] using the method of upper–lower solutions.”
• On the existence of traveling waves for delayed reaction–diffusion equations☆ (2009, background): “(1.3) also includes the nonlocal reaction–diffusion equation by So, Wu and Zou [ 14 ]”
• On travelling wavefronts of Nicholson's blowflies equation with diffusion (2010, methodology): “For research related to other population-dynamical models, we refer the reader to [1, 2, 4, 7, 9, 14, 18 , 24] and the references therein (see also [19, 21, 23, 26]).”
• Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, methodology): “Under the monostable case, in particular b(u) = pue −αu ,S o et al. [ 41 ] applied the method of Wu and Zou [47 ]t o (1.1)”
• Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity (2006, background): “In applying the main results in Wu and Zou[19] to particular models, one faces two major chanllenges: (A) verifying (QM) or (QM∗); (B) under (QM) or (QM∗), constructing the required pair of upper-lower solutions starting with which the iteration generates a monotone sequence that converges to the pr”