Loading [Contrib]/a11y/accessibility-menu.js
Search Advanced

Mathematical Biosciences and Engineering

2010, Volume 7, Issue 1: 187-194. doi: 10.3934/mbe.2010.7.187
Previous Article Next Article

An extension of the formula for spreading speeds

  • 1.
    School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
  • 2.
    Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7
  • A well-known formula for the spreading speed of a discrete-time recursion model is extended to a class of problems for which its validity was previously unknown. These include migration models with moderately fat tails or fat tails. Examples of such models are given.

    Citation: Hans F. Weinberger, Xiao-Qiang Zhao. An extension of the formula for spreading speeds[J]. Mathematical Biosciences and Engineering, 2010, 7(1): 187-194. doi: 10.3934/mbe.2010.7.187

    Related Papers:

    [1] C. W. Chukwu, Fatmawati . Modelling fractional-order dynamics of COVID-19 with environmental transmission and vaccination: A case study of Indonesia. AIMS Mathematics, 2022, 7(3): 4416-4438. doi: 10.3934/math.2022246
    [2] Moh. Mashum Mujur Ihsanjaya, Nanang Susyanto . A mathematical model for policy of vaccinating recovered people in controlling the spread of COVID-19 outbreak. AIMS Mathematics, 2023, 8(6): 14508-14521. doi: 10.3934/math.2023741
    [3] Salah Boulaaras, Ziad Ur Rehman, Farah Aini Abdullah, Rashid Jan, Mohamed Abdalla, Asif Jan . Coronavirus dynamics, infections and preventive interventions using fractional-calculus analysis. AIMS Mathematics, 2023, 8(4): 8680-8701. doi: 10.3934/math.2023436
    [4] Huda Alsaud, Muhammad Owais Kulachi, Aqeel Ahmad, Mustafa Inc, Muhammad Taimoor . Investigation of SEIR model with vaccinated effects using sustainable fractional approach for low immune individuals. AIMS Mathematics, 2024, 9(4): 10208-10234. doi: 10.3934/math.2024499
    [5] Mdi Begum Jeelani, Abeer S Alnahdi, Rahim Ud Din, Hussam Alrabaiah, Azeem Sultana . Mathematical model to investigate transmission dynamics of COVID-19 with vaccinated class. AIMS Mathematics, 2023, 8(12): 29932-29955. doi: 10.3934/math.20231531
    [6] Xiaoying Pan, Longkun Tang . A new model for COVID-19 in the post-pandemic era. AIMS Mathematics, 2024, 9(8): 21255-21272. doi: 10.3934/math.20241032
    [7] Qinyue Zheng, Xinwei Wang, Qiuwei Pan, Lei Wang . Optimal strategy for a dose-escalation vaccination against COVID-19 in refugee camps. AIMS Mathematics, 2022, 7(5): 9288-9310. doi: 10.3934/math.2022515
    [8] Peter Joseph Witbooi, Sibaliwe Maku Vyambwera, Mozart Umba Nsuami . Control and elimination in an SEIR model for the disease dynamics of COVID-19 with vaccination. AIMS Mathematics, 2023, 8(4): 8144-8161. doi: 10.3934/math.2023411
    [9] Maria M. Martignoni, Proton Rahman, Amy Hurford . Rotational worker vaccination provides indirect protection to vulnerable groups in regions with low COVID-19 prevalence. AIMS Mathematics, 2022, 7(3): 3988-4003. doi: 10.3934/math.2022220
    [10] Khalaf M. Alanazi . The asymptotic spreading speeds of COVID-19 with the effect of delay and quarantine. AIMS Mathematics, 2024, 9(7): 19397-19413. doi: 10.3934/math.2024945
  • A well-known formula for the spreading speed of a discrete-time recursion model is extended to a class of problems for which its validity was previously unknown. These include migration models with moderately fat tails or fat tails. Examples of such models are given.


  • This article has been cited by:

    1. Xin Liu, Kerim Fouli, Rui Kang, Martin Maier, Network-Coding-Based Energy Management for Next-Generation Passive Optical Networks, 2012, 30, 0733-8724, 864, 10.1109/JLT.2011.2182633
    2. Konstantin Miller, Thorsten Biermann, Hagen Woesner, Holger Karl, 2010, Network Coding in Passive Optical Networks, 978-1-4244-7189-8, 1, 10.1109/NETCOD.2010.5487683
    3. Z. Dulinski, M. Kantor, W. Krzysztofek, R. Stankiewicz, P. Cholda, 2010, Optimal Choice of Peers Based on BGP Information, 978-1-4244-6402-9, 1, 10.1109/ICC.2010.5502269
    4. Zbigniew Dulinski, Rafal Stankiewicz, Piotr Wydrych, Miroslaw Kantor, Piotr Cholda, 2011, Cost-Driven Peer Rating Algorithm, 978-1-61284-232-5, 1, 10.1109/icc.2011.5962879
    5. Dirk Haage, Ralph Holz, Heiko Niedermayer, Pavel Laskov, 2009, Chapter 24, 978-3-540-92665-8, 279, 10.1007/978-3-540-92666-5_24
    6. Rafal Stankiewicz, Piotr Cholda, Jerzy Domzal, Robert Wojcik, Tobias Hosfeld, Thomas Zinner, Simon Oechsner, Frank Lehrieder, 2011, Influence of traffic management solutions on Quality of Experience for prevailing overlay applications, 978-1-4577-0915-9, 1, 10.1109/NGI.2011.5985866
    7. Piotr Cholda, Jerzy Domzal, Robert Wojcik, Ratal Stankiewicz, Frank Lehrieder, Tobias HoBfeld, Simon Oechsner, Vlad Singeorzan, 2010, Performance evaluation of P2P caches: Flash-crowd case, 978-1-4244-8173-6, 108, 10.1109/ATNAC.2010.5680247
    8. Matthias Wichtlhuber, Robert Reinecke, David Hausheer, An SDN-Based CDN/ISP Collaboration Architecture for Managing High-Volume Flows, 2015, 12, 1932-4537, 48, 10.1109/TNSM.2015.2404792
  • Reader Comments
  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
4.4

Metrics

Article views(2882) PDF downloads(1089) Cited by(30)

Preview PDF
Download XML
Export Citation
Article outline
Abstract

Other Articles By Authors

Related pages

Tools

Copyright © AIMS Press

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog