![](/images/graphics-bg.png)
Some Formal Results on Positivity, Stability, and Endemic Steady-State Attainability Based on Linear Algebraic Tools for a Class of Epidemic Models with Eventual Incommensurate Delays
المؤلفون المشاركون
Nistal, R.
Alonso-Quesada, Santiago
de La Sen, Manuel
Ibeas, Asier
المصدر
Discrete Dynamics in Nature and Society
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-22، 22ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-07-08
دولة النشر
مصر
عدد الصفحات
22
التخصصات الرئيسية
الملخص EN
A formal description of typical compartmental epidemic models obtained is presented by splitting the state into an infective substate, or infective compartment, and a noninfective substate, or noninfective compartment.
A general formal study to obtain the reproduction number and discuss the positivity and stability properties of equilibrium points is proposed and formally discussed.
Such a study unifies previous related research and it is based on linear algebraic tools to investigate the positivity and the stability of the linearized dynamics around the disease-free and endemic equilibrium points.
To this end, the complete state vector is split into the dynamically coupled infective and noninfective compartments each one containing the corresponding state components.
The study is then extended to the case of commensurate internal delays when all the delays are integer multiples of a base delay.
Two auxiliary delay-free systems are defined related to the linearization processes around the equilibrium points which correspond to the zero delay, i.e., delay-free, and infinity delay cases.
Those auxiliary systems are used to formulate stability and positivity properties independently of the delay sizes.
Some examples are discussed to the light of the developed formal study.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
de La Sen, Manuel& Nistal, R.& Alonso-Quesada, Santiago& Ibeas, Asier. 2019. Some Formal Results on Positivity, Stability, and Endemic Steady-State Attainability Based on Linear Algebraic Tools for a Class of Epidemic Models with Eventual Incommensurate Delays. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1146629
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
de La Sen, Manuel…[et al.]. Some Formal Results on Positivity, Stability, and Endemic Steady-State Attainability Based on Linear Algebraic Tools for a Class of Epidemic Models with Eventual Incommensurate Delays. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-22.
https://search.emarefa.net/detail/BIM-1146629
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
de La Sen, Manuel& Nistal, R.& Alonso-Quesada, Santiago& Ibeas, Asier. Some Formal Results on Positivity, Stability, and Endemic Steady-State Attainability Based on Linear Algebraic Tools for a Class of Epidemic Models with Eventual Incommensurate Delays. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1146629
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1146629
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
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
![](/images/kashef-image.png)