{"id":43,"date":"2016-04-06T11:16:38","date_gmt":"2016-04-06T11:16:38","guid":{"rendered":"http:\/\/staffpages.uofk.edu\/mohamed-doma\/?page_id=43"},"modified":"2016-04-12T07:22:08","modified_gmt":"2016-04-12T07:22:08","slug":"publications-in-international-refereed-journals","status":"publish","type":"page","link":"https:\/\/staffpages.uofk.edu\/mohamed-doma\/?page_id=43","title":{"rendered":"Publications in International Refereed Journals"},"content":{"rendered":"

M. El-Doma is the only author of the following papers:<\/strong>
\n1. \u00a0 Analysis of nonlinear integro-differential equations arising in age-dependent\u00a0epidemic models, Nonlinear Analysis, TMA, Vol. 11, (1987), pp. 913-937.<\/p>\n

2. Analysis of a general age-dependent vaccination model for a vertically\u00a0transmitted disease, Nonlinear Times and Digest, Vol. 2, (1995), pp. 147-172.<\/p>\n

3. Analysis of an age-dependent vaccination model, Dirasat, Natural and\u00a0Engineering Sciences, Vol. 23, No. 1, (1996), pp. 57-64.
\n4. Stability analysis for a general age-dependent vaccination model, Mathematical and Computer Modelling, Vol. 24, No. 7, (1996), pp. 109-117.<\/p>\n

5.\u00a0Stability analysis of nonlinear integro-differential\u00a0equations arising in age\u00a0dependent epidemic models, Mu\u2019tah Lil-Buhooth Wa Al-Dirasat, Natural\u00a0and Applied Science Series, Vol. 12, No. 1, (1997), pp. 139-168.<\/p>\n

6. Analysis of an age-dependent SIS epidemic model with vertical transmission and proportionate mixing assumption, Mathematical and Computer\u00a0Modelling, Vol. 29, No. 7, (1999), pp. 31-43.<\/p>\n

7.\u00a0Stability of a general age-dependent vaccination model of a vertically\u00a0transmitted disease under proportionate mixing assumption, IMA Journal of Mathematics Applied in Medicine & Biology, Vol. 17, No. 2, (2000), pp. 119-136.<\/p>\n

8. Analysis of an age-dependent SI epidemic model with disease-induced\u00a0mortality and proportionate mixing assumption, International Journal\u00a0of Applied Mathematics, Vol. 3, No. 3, (2000), 233-247<\/span>.<\/p>\n

9. Analysis of a general age-dependent vaccination model for an SIR epidemic, International Journal of Applied Mathematics, Vol. 5, No. 2,\u00a0(2001), 121-162.<\/span><\/p>\n

10.\u00a0\u00a0Stability and disease persistence in an age-structured epidemic model\u00a0with vertical transmission and proportionate mixing assumption, Mathematical Sciences Research Journal, Vol. 7, No. 11, November (2003), pp.<\/strong> 430-445.<\/p>\n

11. Analysis of an age-structured epidemic model with vertical transmission\u00a0and proportionate mixing assumption, Mathematical Sciences Research\u00a0Journal, August 2004 Vol. 8, No. 8, pp. 239-260.<\/p>\n

12. Analysis of an age-dependent SI epidemic model with disease-induced\u00a0mortality and proportionate mixing assumption: The case of vertically\u00a0transmitted diseases, Journal of Applied mathematics, 2004: 3, pp. 235-253<\/span>.<\/p>\n

13. Stability Analysis for an SIR Age-Structured Epidemic Model with Vertical Transmission and Vaccination, International Journal of Ecology &\u00a0Development, Volume 3 No. MA05, March-April 2005, pp. 1-38<\/span>.<\/p>\n

14. Stability analysis for an MSEIR age-structured epidemic model, Dynamics of continuous, discrete, and impulsive systems, Series A: Mathematical Analysis, Vol. 13, No. 1, pp. 85, (2006)<\/span>.<\/p>\n

15.\u00a0A global stability result and existence and uniqueness of an age-dependent\u00a0SI epidemic with disease-induced mortality and proportionate mixing\u00a0assumption: The case of vertically transmitted diseases. International\u00a0Journal of Ecology & Development, Vol. 4, No. W06, pp. 52-65, Winter 2006.<\/p>\n

16.\u00a0Remarks on the Stability of some Size-Structured Population models I: Changes in Vital Rates due to Population only. AAM: Intern. J., Vol. 1, No. 1, pp. 11-24, (2006).
\n17.\u00a0Analysis of an SIRS age-structured epidemic model with vaccination and\u00a0vertical transmission of disease. AAM: Intern. J., Vol. 1, No. 1, pp. 36-61, (2006).<\/p>\n

18. Stability analysis for an SEIR age-structured epidemic model under vaccination. AAM: Intern. J., Vol. 1, No. 2, pp. 96-111, (2006).<\/span><\/p>\n

19.\u00a0Global stability results and well posedness of an SI age-structured epidemic model with vertical transmission. AAM: Intern. J., Vol. 1, <\/strong>No. 2, pp. 126-140, (2006).<\/p>\n

20. Global stability results of an SIS age-structured epidemic model with\u00a0vertical transmission. AAM: Intern. J., Vol. 2, No. 1, pp. 32-50, (2007)<\/span>.<\/p>\n

21.\u00a0An age-structured population model with cannibalism. AAM: Intern. J., Vol. 2, No. 2, pp. 92-106, (2007).<\/p>\n

22. Stability Analysis for the Gurtin-MacCamy’s Age-Structured Population\u00a0Dynamics Model. AAM: Intern. J., Vol. 2, No. 2, pp. 144-151, (2007)<\/span>.<\/p>\n

23.\u00a0A note on Professor Jozsef Farkas\u2019 Claims, AAM: Intern. J., Vol. 3, No. 1,<\/strong> pp. 1-3, (2008).<\/p>\n

24. Remarks on the Stability of some Size-Structured Population models II:\u00a0Changes in Vital Rates due to Size and Population size. AAM: Intern.\u00a0J., Vol. 3, No. 1, pp. 113-127, (2008).<\/span>
\n25.\u00a0Remarks on the Stability of some Size-Structured Population models III: The case of constant inflow of newborns. AAM: Intern. J., Vol. 3, No. 2,<\/strong> pp. 200-217, (2008).<\/p>\n

26.\u00a0Remarks on the Stability of some Size-Structured Population Models IV: The General case of Juveniles and Adults. AAM: Intern. J., Vol. 4, No. 2,<\/strong> pp. 355-385, (2009).<\/p>\n

27.\u00a0Remarks on the Stability of some Size-Structured Population Models V: The case when the death rate depends on adults only and the growth\u00a0rate depends on size only. AAM: Intern. J., Vol. 4, No. 2, pp. 386-406,\u00a0(2009).<\/p>\n

28.\u00a0Remarks on the Stability of some Size-Structured Population Models VI: The case when the death rate depends on juveniles only and the growth\u00a0rate depends on size only and the case when both rates depend on size\u00a0only. AAM: Intern. J., Vol. 4, No. 2, pp. 407 \u2013 427, (2009).<\/p>\n

29. Stability Analysis of a Size-Structured Population Dynamics Model of\u00a0Daphnia. IJPAM, Vol. 70, No. 2, 2011, 189 – 209<\/span>.<\/p>\n

30. Stability of a Size-Structured Population Model with a Constant Inflow\u00a0of Newborns: The case when the death rate depends on juveniles only\u00a0and the growth rate depends on size only and the case when both rates\u00a0depend on size only. IJPAM, Vol. 70, No. 2, 2011, 229 – 260<\/span>.<\/p>\n

31.\u00a0Stability Analysis of a Size-Structured Population Model when the Death\u00a0rate depends on Adults only and there is A Constant Inflow of Newborns. Dynamics of Continuous, Discrete & Impulsive Systems (DCDIS) Series B: Applications & Algorithms 18(2011) 659 \u2013 678.<\/p>\n

32. The Principle of Linearized Stability for Size-Structured Population Models. AAM: Intern. J., Vol. 6, No. 2, pp. 620 – 647, (2011)<\/span>.<\/p>\n

33. A Size-Structured Population Dynamics Model of Daphnia. Applied\u00a0Mathematics Letters, Vol. 25, 2012, pp. 1041-1044<\/span>.<\/p>\n

34.\u00a0A Size-Structured Population Dynamics Model of Daphnia: An Example\u00a0of Failure of The Principle of Linearized Stability. <\/strong>Eurasia International\u00a0Journal of Mathematics, Vol. 1; Issue No. 2; 2012, pp. 23-28.<\/p>\n

35.\u00a0Stability analysis for a selection-mutation size-structured population dynamics model. Eurasia International Journal of Mathematics, Vol. 1; Issue No. 1; 2012, pp. 1-15.<\/p>\n

36. Analysis of a selection-mutation size-structured model. Eurasia International Journal of Mathematics, Vol. 1; Issue No. 2; 2012, pp. 1-22.<\/p>\n

37. Size-Structured Population Models with Constant Inflow of Newborns. Eurasia International Journal of Mathematics, Vol. 1; Issue No. 1; 2012, pp. 16-40..<\/p>\n

38. A model for competition between several size-structured populations. \u00a0IJED, Vol. 23, Issue No. 3, 2012, pp. 80-98.<\/p>\n

39.\u00a0Stability Analysis of a Size-Structured Population Model with Maturation Size and a Constant Inflow of Newborns. International Journal of\u00a0Ecological Economics & Statistics (IJEES), Vol. 28, No. 1, 2013, pp. 80-103.<\/p>\n

40. New Stability Results for a Size-Structured Population Dynamics Modelof Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue\u00a0No. 2, 2012, pp. 49-59<\/span>.<\/p>\n

41.\u00a0Well-posedness of a Size-Structured Population Dynamics Model of Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 65-75.<\/p>\n

42.\u00a0The Principle of Linearized Stability for a Size-Structured Population\u00a0 Model of Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 76-97.<\/p>\n

43. Stability for Size-Structured Population Models with Maturation Size\u00a0and The Principle of Linearized. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 41-64<\/span>.<\/p>\n

44.\u00a0A model for competition between two size-structured populations. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 2, 2012, pp. 29-48.<\/p>\n

45. Stability Analysis of a Size-Structured Population Model with Cannibalism and an Inflow of Newborns. Eurasia International Journal of\u00a0Mathematics, Vol. 1, Issue No. 2, 2012, pp. 60-79.<\/p>\n

46. An Introduction to Size-structured population dynamics Models of Daphnia and Uni\fcation. In: M. El-Doma (ed.), Daphnia: Biology and Mathematics Perspectives. ISBN: 978-1-63117-028-7<\/span>. Nova Sciences Publishers, Inc., U. S. A., 2014, 1-50.<\/p>\n

47.\u00a0Well-posedness of a system of Several Size-structured population dynamics models of Several Daphnia species Competing for a single resource.\u00a0 In: M. El-Doma (ed.), Daphnia: Biology and Mathematics Perspectives.\u00a0ISBN: 978-1-63117-028-7. Nova Sciences Publishers, Inc., U. S. A., 2014,\u00a051-93.<\/p>\n

48. The principle of linearized stability for a system of Several Size-structured\u00a0population dynamics models of several Daphnia species Competing for a\u00a0single resource. In: M. El-Doma (ed.), Daphnia: Biology and Mathematics Perspectives. ISBN: 978-1-63117-028-7<\/span>. Nova Sciences Publishers,Inc., U. S. A., 2014, 95-156.<\/p>\n

49.\u00a0Stability results for a system of Several Size-structured population dynamics models of several Daphnia species Competing for a single resource. In: M. El-Doma (ed.), Daphnia: Biology and Mathematics Perspectives. ISBN: 978-1-63117-028-7. Nova Sciences Publishers, Inc., U.\u00a0S. A., 2014, 157-224.<\/p>\n

50.\u00a0An introduction to the book: Daphnia: Biology and Mathematics Perspectives (in Arabic). Arab Scientific Community Organization, 26\/08\/2014,\u00a0with links:
\nhttp:\/\/arsco.org\/detailed\/4dbbd7d2-6412-4b34-bec6-ae0ab08578fb#.
\nhttp:\/\/www.arsco.org\/detailed\/4dbbd7d2-6412-4b34-bec6-ae0ab08578fb.<\/p>\n","protected":false},"excerpt":{"rendered":"

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