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Register a new userRole of Mathematical Models in Epidemiology
دور النماذج الرياضية في علم الاوبئة
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Tishreen University ورقة بحثية
Publication date
2018
fields
Mathematics
and research's language is
العربية
Authors
مبارك ديب( باحث )
Created by
Shamra Editor
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الغاية من هذا البحث هو تشكيل أنموذج رياضي مناسب لدراسة علم الأوبئة, مع تبيان دور عتبة الوباء التي لا يمكن تمييزها من البيانات لاستخدامها من قبل خبراء الأمراض المعدية و الصحة العامة. لقد تزايد الاهتمام كثيراً بالنماذج الرياضية لعلم الأوبئة في الآونة الأخيرة لما له من أثار صحية و اقتصادية, علماً أن علم الأوبئة (من وجهة نظر رياضية) هو قسم من الأوبئة العامة التي تتعامل مع النمذجة الرياضية فيما يتعلق بالحاجة إلى التنبؤ و انتشار الأمراض المعدية.
The purpose of this research is to establish a suitable mathematical model for the study of epidemiology, showing the role of the epidemic threshold which cannot be distinguished from the data for use by infectious disease experts and public health. There has been a growing interest in recent epidemiological models of epidemiology because of their health and economic effects. Epidemiology (from a mathematical point of view) is a section of general epidemiology that deals with mathematical modeling in relation to the need to predict and spread infectious diseases.
Artificial intelligence review:
Research summary
يتناول البحث دور النماذج الرياضية في علم الأوبئة، حيث يهدف إلى تشكيل نموذج رياضي مناسب لدراسة انتشار الأمراض المعدية. يوضح البحث أهمية عتبة الوباء التي لا يمكن تمييزها من البيانات وحدها، مما يجعل النماذج الرياضية أداة حيوية لخبراء الأمراض المعدية والصحة العامة. يشير البحث إلى أن النماذج الرياضية تساعد في التنبؤ بسرعة وحجم انتشار الوباء، اختبار فعالية استراتيجيات التدخل، وتحديد عتبات التغطية اللقاحية اللازمة للقضاء على المرض. يتم التركيز على نموذج SIR وتعديلاته مثل SEIR وSIRS، حيث يتم تحليل ديناميكيات هذه النماذج وتحديد نقاط التوازن والاستقرار. يبرز البحث أهمية التعاون بين علماء الرياضيات وخبراء الصحة العامة لتوفير البيانات اللازمة وتشكيل النماذج الرياضية المناسبة، مما يسهم في اتخاذ القرارات الأمثل في مجال الصحة العامة.
Critical review
دراسة نقدية: يعتبر البحث ذو أهمية كبيرة في مجال علم الأوبئة، حيث يسلط الضوء على دور النماذج الرياضية في فهم انتشار الأمراض المعدية وتقديم استراتيجيات فعالة للسيطرة عليها. ومع ذلك، يمكن أن يكون البحث أكثر شمولاً إذا تم تضمين أمثلة تطبيقية أكثر تفصيلاً من الواقع العملي لتوضيح كيفية استخدام النماذج الرياضية في حالات وبائية محددة. كما أن التركيز على التعاون بين علماء الرياضيات وخبراء الصحة العامة يمكن أن يكون أكثر تفصيلاً، مع تقديم أمثلة عملية لكيفية تحقيق هذا التعاون بشكل فعال.
Questions related to the research
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ما هو الهدف الرئيسي من البحث؟
الهدف الرئيسي من البحث هو تشكيل نموذج رياضي مناسب لدراسة انتشار الأمراض المعدية وتوضيح دور عتبة الوباء التي لا يمكن تمييزها من البيانات وحدها.
-
ما هي النماذج الرياضية التي تم التركيز عليها في البحث؟
تم التركيز على نموذج SIR وتعديلاته مثل SEIR وSIRS.
-
ما هي أهمية التعاون بين علماء الرياضيات وخبراء الصحة العامة وفقاً للبحث؟
التعاون بين علماء الرياضيات وخبراء الصحة العامة مهم لتوفير البيانات اللازمة وتشكيل النماذج الرياضية المناسبة، مما يسهم في اتخاذ القرارات الأمثل في مجال الصحة العامة.
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كيف تساعد النماذج الرياضية في السيطرة على انتشار الأمراض المعدية؟
تساعد النماذج الرياضية في التنبؤ بسرعة وحجم انتشار الوباء، اختبار فعالية استراتيجيات التدخل، وتحديد عتبات التغطية اللقاحية اللازمة للقضاء على المرض.
References used
Herbert W. Heathcoat, The Mathematics of Infectious Diseases SIAM Review , Vol. 42, 2000
Brauer F., Castillo-Chavez C.: Mathematical models in population biology and epidemiology, Springer, New York, 2000
Ashrafur Rahman, Study of Infectious Diseases by Mathematical Models: Predictions and Controls,2016
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