Asymptotic speeds of spread and traveling waves for monotone semiflows with applications

By Xing Liang, Xiao-Qiang Zhao. 2007

793 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/86e1be3c66ff9eddc875113d1ea86d1a66920317

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In Applied Mathematics

1. Wenxian Shen
2. Wan-Tong Li
3. Xiao-Qiang Zhao
4. Zhi-Cheng Wang
5. Aijun Zhang
6. Yihong Du
7. Mingxin Wang
8. Rui Peng

In Mathematical Physics

1. Mingxin Wang
2. Yihong Du
3. Rui Peng
4. Wan-Tong Li
5. Zhigui Lin
6. Xing Liang
7. Yang Zhang
8. Wenxian Shen

In Public Health, Environmental and Occupational Health

1. Mingxin Wang
2. Wan-Tong Li
3. Xiao-Qiang Zhao
4. Wenxian Shen
5. Zhi-Cheng Wang
6. Yihong Du
7. Guo Lin
8. Rui Peng

Citations in the corpus

• Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, background): “Under the assumptions that F(x, y, t, s) = F(x − y, t −s), F(x, t) = F(−x, t), ∫∞0 ∫∞ −∞ F(y, s)dyds = 1 and ∫∞ 0 ∫∞ −∞ F(y, s)e λ(y−cs)dyds ∞ for all c ≥ 0 and λ ≥ 0, Zhao and Xiao [50] further showed that there exists a constant c∗ such that for c ≥ c∗, (5.2) has a monotone traveling wave front ”
• Bistable Traveling Waves for Monotone Semiflows with Applications (2011, background): “For spreading speeds of various monostable evolution systems, we refer to [2, 8, 22, 25, 26, 28, 38, 39, 48] and references therein.”
• Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “(See [3], [4], [5], [37], [42], [43], [44], [58] and references therein for the above mentioned properties).”
• Existence and nonexistence of traveling waves for a nonlocal monostable equation (2008, background): “, [5, 7, 10, 11, 12, 13, 14, 15, 18, 19, 23, 24, 26, 27, 28] on traveling waves and long-time behavior in various monostable evolution systems, [2, 4, 30] nonlocal bistable equations and [20] Euler equation.”
• Spreading speeds and travelling waves for non-monotone time-delayed lattice equations (2010, background): “Ma & Zou (2005) then established the uniqueness (up to translation) and stability of travelling waves for the local case (i.”
• Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems (2009, background): “Thus, we may not expect to apply the abstract results developed in [22,7,8] to prove the existence of monostable wavefronts for general partially degenerate systems (1.”
• Traveling waves of diffusive predator-prey systems: Disease outbreak propagation (2012, background): “[38] developed a theory of traveling wave based on some abstract results of Liang and Zhao [39].”
• Spreading speeds and traveling waves for periodic evolution systems (2006, methodology): “Theorem C. ([ 11, Theorem 4.1 ]) Let Q satisfy (A1){(A5), and c be its asymp-”
• Traveling waves and spreading speeds for time-space periodic monotone systems (2015, background): “(b) follows from the same arguments as in [23].”
• Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, background): “It is clear that (MQM) and (EMQM) include the monotonicity conditions in [17, 18, 21, 25, 26, 28, 42, 61, 62, 66].”
• Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats (2010, neutral): “(See [5], [6], [7], [39], [44], [45], [55] and references therein for the above mentioned properties).”