Dynamical Behavior and Stability Analysis in a Hybrid Epidemiological-Economic Model with Incubation
المؤلفون المشاركون
Liu, Chao
Yue, Wenquan
Liu, Peiyong
المصدر
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-22، 22ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-05-12
دولة النشر
مصر
عدد الصفحات
22
التخصصات الرئيسية
الملخص EN
A hybrid SIR vector disease model with incubation is established, where susceptible host population satisfies the logistic equation and the recovered host individuals are commercially harvested.
It is utilized to discuss the transmission mechanism of infectious disease and dynamical effect of commercial harvest on population dynamics.
Positivity and permanence of solutions are analytically investigated.
By choosing economic interest of commercial harvesting as a parameter, dynamical behavior and local stability of model system without time delay are studied.
It reveals that there is a phenomenon of singularity induced bifurcation as well as local stability switch around interior equilibrium when economic interest increases through zero.
State feedback controllers are designed to stabilize model system around the desired interior equilibria in the case of zero economic interest and positive economic interest, respectively.
By analyzing corresponding characteristic equation of model system with time delay, local stability analysis around interior equilibrium is discussed due to variation of time delay.
Hopf bifurcation occurs at the critical value of time delay and corresponding limit cycle is also observed.
Furthermore, directions of Hopf bifurcation and stability of the bifurcating periodic solutions are studied.
Numerical simulations are carried out to show consistency with theoretical analysis.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Liu, Chao& Yue, Wenquan& Liu, Peiyong. 2014. Dynamical Behavior and Stability Analysis in a Hybrid Epidemiological-Economic Model with Incubation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1014416
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Liu, Chao…[et al.]. Dynamical Behavior and Stability Analysis in a Hybrid Epidemiological-Economic Model with Incubation. Abstract and Applied Analysis No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1014416
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Liu, Chao& Yue, Wenquan& Liu, Peiyong. Dynamical Behavior and Stability Analysis in a Hybrid Epidemiological-Economic Model with Incubation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1014416
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1014416
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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