Mansoura University Damietta Branch Faculty of Science Mathematics Department SUPERVISORS Title: Study of Some Biological Stochastic Models Name: Nagwa Gamal El-Din Zaki Ragab Supervisors : NO. SUPERVISORS POSITION SIGNATURE 1 Dr. Mohamed Ahmed Anwer El-Shehawey 2 Dr. Mansour Fathy Yassen Ali Assistant professor of Mathematics, Damietta Faculty of Science, Mansoura University Lecturer of Mathematics, Damietta Faculty of Science, Mansoura University Head of Math. Dep. Vice Dean of graduate Studies and research Dean of Faculty Dr. Adel Azmy Abadeer Prof. Dr. M. A. Omran Prof. Dr. M.R. Mostafa Mansoura University Damietta Branch Faculty of Science Mathematics Department MEMBERS OF REFEREE AND DICUSSION COMMITTEE Title: Study of Some Biological Stochastic Models Name: Nagwa Gamal El-Din Zaki Ragab Supervisors : NO. 1 2 SUPERVISORS POSITION SIGNATURE Dr. Mohamed Ahmed Anwer ElShehawey Dr. Mansour Fathy Yassen Ali Assistant professor of Mathematics, Damietta Faculty of Science, Mansoura University Lecturer of Mathematics, Damietta Faculty of Science, Mansoura University Date of Discussion: Degree of Dissertation: Referees Signatures: NO. 1 2 3 NAME POSITION SIGNATURE Prof. Dr. Nemea Ali Professor of Mathematics, Faculty of Abd- Raboh Science, Alexandra University Prof. Dr. Mohamed Abd Professor of Mathematics, Faculty of El-Wahhab Mohamed Dr. Mohamed Ahmed Anwer El-Shehawey Science, Al-Azhar University Assistant professor of Mathematics, Damietta Faculty of Science, Mansoura University Head of Math. Dep. Vice Dean of graduate Studies and research Dean of Faculty Dr. Adel Azmy Abadeer Prof. Dr. M. A. Omran Prof. Dr. M.R. Mostafa Note Besides the work carried out in this thesis, the author has attended and passed successfully the following post-graduate courses: 1) Stochastic Processes. 2) Mathematical Statistics. 3) Numerical Analysis. 4) Integral Equations. 5) Functional Analysis. 6) Universal Algebra. 7) English Language. Head of Math. Dep. Vice Dean of graduate Studies and research Dean of Faculty Dr. Adel Azmy Abadeer Prof. Dr. M. A. Omran Prof. Dr. M.R. Mostafa WO�u�uO��« WOz«uAF�« ÖULM�« iF� W�«—œ V�— w�“ s�b�« ‰U� Èu$ ﻡ 1 ﺍﻻﺳﻢ —u�√ b�√ bL� Øœ «�ÍËUNA 2 5�U� w��� —uBM�Øœ �wK ﺍﻟﺘﻮﻗﻴﻊ ﺍﻟﻮﻇﻴﻔﺔ أﺳﺘﺎذ ﻣﺴﺎﻋﺪ اﻹﺣﺼﺎء ﺑﻜﻠﻴﺔ اﻟﻌﻠﻮم )ﺑﺪﻣﻴﺎط( ﺟﺎﻣﻌﺔ اﻟﻤﻨﺼﻮرة ﻣﺪرس اﻹﺣﺼﺎء ﺑﻜﻠﻴﺔ اﻟﻌﻠﻮم )ﺑﺪﻣﻴﺎط( ﺟﺎﻣﻌﺔ اﻟﻤﻨﺼﻮرة د /ﻋﺎدل ﻋﺰﻣﻲ أﺑﺎدﻳﺮ أ.د .ﻣﺤﻤﺪ أﺣﻤﺪ ﻋﻤﺮان وادي أ.د .ﻣﺤﻤﺪ رﻣﺰي ﻣﺼﻄﻔﻰ WO�u�uO��« WOz«uAF�« ÖULM�« iF� W�«—œ V�— w�“ s�b�« ‰U� Èu$ ﺍﻟﺘﻮﻗﻴﻊ ﺍﻟﻮﻇﻴﻔﺔ ﺍﻻﺳﻢ ◊UO�b� ÂuKF�« WOKJ� ¡UB�ù« b�U�� –U��√ ﻡ ÍËUNA�« —u�√ b�√ bL� Øœ 1 wK� 5�U� w��� —uBM�Øœ 2 …—uBM*« WF�U� (ﻣﺪرس اﻹﺣﺼﺎء ﺑﻜﻠﻴﺔ اﻟﻌﻠﻮم )ﺑﺪﻣﻴﺎط ﺟﺎﻣﻌﺔ اﻟﻤﻨﺼﻮرة :ﺗﺎرﻳﺦ اﻟﻤﻨﺎﻗﺸﺔ :ﺗﻘﺮﻳﺮ ﻟﺠﻨﺔ اﻟﺤﻜﻢ • • ﺍﻟﺘﻮﻗﻴﻊ ﺍﻟﻮﻇﻴﻔﺔ ﺍﻻﺳﻢ ﻡ W�—bMJ�ù« WF�U� – ÂuKF�« WOK� – UO{U�d�« r�I� –U��√ t�— b�� wK� tLF� ÆœÆ√ 1 ®5M�© d�“_« WF�U� – ÂuKF�« WOK� – UO{U�d�« r�I� –U��√ »U�u�« b�� bL� ÆœÆ√ 2 bL� – ◊UO�b� ÂuKF�« WOK� – UO{U�d�« r�I� b�U�� –U��√ —u�√ b�√ bL� Øœ …—uBM*« WF�U� ÍËUNA�« ﻣﺤﻤﺪ رﻣﺰي ﻣﺼﻄﻔﻰ.د.أ ﻣﺤﻤﺪ أﺣﻤﺪ ﻋﻤﺮان وادي.د.أ ﻋﺎدل ﻋﺰﻣﻲ أﺑﺎدﻳﺮ/د 3 ﺳﻮرة اﻟﺒﻘﺮة – اﻵﻳﺔ )(32 ﺳﻮرة اﻟﺒﻘﺮة – اﻵﻳﺔ )(32
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