An introduction to delay differential equations with applications to the life sciences / Hal Smith

By Hal L. Smith. 2010

1,045 citations recorded by the source corpus.

Subfields: Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/41cb3f41f6c7e33ca44855b1295cb9a83719f52b

How researchers see this paper

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

In Mathematical Physics

1. Shanshan Chen
2. Junping Shi
3. Michael Ghil
4. Lihong Huang
5. Hao Wang
6. Chuncheng Wang
7. Mickaël D. Chekroun
8. Chuangxia Huang

In Numerical Analysis

1. Umer Saeed
2. D. Kondrashov
3. Yang Kuang
4. Ying-Cheng Lai
5. Qi An
6. Junping Shi
7. Michael Ghil
8. Lihong Huang

Citations in the corpus

• Data-driven non-Markovian closure models (2014, background): “This transformation is known as the “linear-chain trick” [46, 54, 55].”
• Transient phenomena in ecology (2018, background): “, two-species) system with delay is equivalent to an infinite-dimensional instantaneous system (39, 40).”
• Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms (2019, neutral): “By the fluctuation (by [19, Lemma A.1.])”
• Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect (2012, background): “Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect.”
• Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters (2019, background): “In almost all the modeling efforts that involving multiple physical and/or biological processes, multiple time delays occur naturally [1, 2, 3, 4].”
• Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term (2019, background): “In fact, according to the fluctuation lemma [[23], Lemma A.”
• Hermite Wavelet Method for Fractional Delay Differential Equations (2014, methodology): “In the method of steps [8], we convert the delay differential equation to a nondelay differential equation.”
• Cucker-Smale model with normalized communication weights and time delay (2016, background): “[26, 19], it follows that all solutions w(t) of (32) either tend to zero as t→∞ or stay uniformly bounded.”