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On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy
المؤلفون المشاركون
Rashidinia, Jalil
Sajjadian, Mehri
Duarte, Jorge
Januário, Cristina
Martins, Nuno
المصدر
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-12-02
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
In this article, we consider the discretized classical Susceptible-Infected-Recovered (SIR) forced epidemic model to investigate the consequences of the introduction of different transmission rates and the effect of a constant vaccination strategy, providing new numerical and topological insights into the complex dynamics of recurrent diseases.
Starting with a constant contact (or transmission) rate, the computation of the spectrum of Lyapunov exponents allows us to identify different chaotic regimes.
Studying the evolution of the dynamical variables, a family of unimodal-type iterated maps with a striking biological meaning is detected among those dynamical regimes of the densities of the susceptibles.
Using the theory of symbolic dynamics, these iterated maps are characterized based on the computation of an important numerical invariant, the topological entropy.
The introduction of a degree (or amplitude) of seasonality, ε, is responsible for inducing complexity into the population dynamics.
The resulting dynamical behaviors are studied using some of the previous tools for particular values of the strength of the seasonality forcing, ε.
Finally, we carry out a study of the discrete SIR epidemic model under a planned constant vaccination strategy.
We examine what effect this vaccination regime will have on the periodic and chaotic dynamics originated by seasonally forced epidemics.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Rashidinia, Jalil& Sajjadian, Mehri& Duarte, Jorge& Januário, Cristina& Martins, Nuno. 2018. On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1135666
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Rashidinia, Jalil…[et al.]. On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1135666
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Rashidinia, Jalil& Sajjadian, Mehri& Duarte, Jorge& Januário, Cristina& Martins, Nuno. On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1135666
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1135666
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
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