IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i2p1234-1244.html
   My bibliography  Save this article

Periodic solutions of nonautonomous differential systems modeling obesity population

Author

Listed:
  • Arenas, Abraham J.
  • González-Parra, Gilberto
  • Jódar, Lucas

Abstract

In this paper we study the periodic behaviour of the solutions of a nonautonomous model for obesity population. The mathematical model represented by a nonautonomous system of nonlinear ordinary differential equations is used to model the dynamics of obese populations. Numerical simulations suggest periodic behaviour of subpopulations solutions. Sufficient conditions which guarantee the existence of a periodic positive solution are obtained using a continuation theorem based on coincidence degree theory.

Suggested Citation

  • Arenas, Abraham J. & González-Parra, Gilberto & Jódar, Lucas, 2009. "Periodic solutions of nonautonomous differential systems modeling obesity population," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1234-1244.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1234-1244
    DOI: 10.1016/j.chaos.2009.03.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909001520
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.03.029?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Huo, Hai-Feng & Li, Wan-Tong & Nieto, Juan J., 2007. "Periodic solutions of delayed predator–prey model with the Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 505-512.
    2. Kobayashi, Masako & Kobayashi, Maiko, 2006. "The relationship between obesity and seasonal variation in body weight among elementary school children in Tokyo," Economics & Human Biology, Elsevier, vol. 4(2), pages 253-261, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Enrique Lozano-Ochoa & Jorge Fernando Camacho & Cruz Vargas-De-León, 2017. "Qualitative Stability Analysis of an Obesity Epidemic Model with Social Contagion," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Eiji Yamamura, 2012. "Influence of body image in urbanized areas: differences in long-term changes in teenage body mass index between boys and girls in Japan," Journal of Bioeconomics, Springer, vol. 14(3), pages 243-256, October.
    2. Singh, Prakarsh, 2016. "Learning and Behavioral Spillovers of Nutritional Information," IZA Discussion Papers 10085, Institute of Labor Economics (IZA).
    3. Hu, Guang-Ping & Li, Wan-Tong & Yan, Xiang-Ping, 2009. "Hopf bifurcations in a predator–prey system with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1273-1285.
    4. Yamamura, Eiji, 2013. "Impact of the Fukushima nuclear accident on the body mass index of students in Japan," MPRA Paper 43920, University Library of Munich, Germany.
    5. Laura C. Hopkins & Amy R. Sharn & Daniel Remley & Heather Schier & Regan Olak & Dorsena Drakeford & Cara Pannell & Carolyn Gunther, 2021. "Caregiver Perceptions of Environmental Facilitators and Barriers to Healthy Eating and Active Living during the Summer: Results from the Project SWEAT Sub-Study," IJERPH, MDPI, vol. 18(21), pages 1-15, October.
    6. Chih-Chien Huang & Scott Yabiku & Jennie Kronenfeld, 2015. "The Effects of Household Technology on Body Mass Index among Chinese Adults," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 34(6), pages 877-899, December.
    7. Caro, Juan Carlos, 2020. "Parental investments, socioemotional development and nutritional health in Chile," MPRA Paper 98867, University Library of Munich, Germany.
    8. Caro, Juan Carlos, 2020. "Child development and obesity prevention: evidence from the Chilean School Meals Program," MPRA Paper 98865, University Library of Munich, Germany.
    9. Prakarsh Singh, 2017. "Learning and Behavioural Spillovers of Nutritional Information," Journal of Development Studies, Taylor & Francis Journals, vol. 53(6), pages 911-931, June.
    10. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.
    11. Eiji YAMAMURA, 2011. "pOSITIVE EXTERNALITIES OF CONGESTION ON HEALTH: A CASE STUDY OF CHRONIC ILLNESS IN JAPAN FOR THE PERIOD 1988– 2009," Theoretical and Empirical Researches in Urban Management, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 6(3), pages 15-34, August.
    12. Chiaki Tanaka & John J. Reilly & Maki Tanaka & Shigeho Tanaka, 2018. "Changes in Weight, Sedentary Behaviour and Physical Activity during the School Year and Summer Vacation," IJERPH, MDPI, vol. 15(5), pages 1-19, May.
    13. Zhang, Jia-Fang & Chen, Heshan, 2014. "Global asymptotic behavior in a Lotka–Volterra competition system with spatio-temporal delays," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 69-75.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1234-1244. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.