Dr. Mohamed O. El-Doma

Dr. Mohamed O. El-Doma

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Publications in International Refereed Journals

M. El-Doma is the only author of the following papers:
1.   Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models, Nonlinear Analysis, TMA, Vol. 11, (1987), pp. 913-937.

2. Analysis of a general age-dependent vaccination model for a vertically transmitted disease, Nonlinear Times and Digest, Vol. 2, (1995), pp. 147-172.

3. Analysis of an age-dependent vaccination model, Dirasat, Natural and Engineering Sciences, Vol. 23, No. 1, (1996), pp. 57-64.
4. Stability analysis for a general age-dependent vaccination model, Mathematical and Computer Modelling, Vol. 24, No. 7, (1996), pp. 109-117.

5. Stability analysis of nonlinear integro-differential equations arising in age dependent epidemic models, Mu’tah Lil-Buhooth Wa Al-Dirasat, Natural and Applied Science Series, Vol. 12, No. 1, (1997), pp. 139-168.

6. Analysis of an age-dependent SIS epidemic model with vertical transmission and proportionate mixing assumption, Mathematical and Computer Modelling, Vol. 29, No. 7, (1999), pp. 31-43.

7. Stability of a general age-dependent vaccination model of a vertically transmitted disease under proportionate mixing assumption, IMA Journal of Mathematics Applied in Medicine & Biology, Vol. 17, No. 2, (2000), pp. 119-136.

8. Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption, International Journal of Applied Mathematics, Vol. 3, No. 3, (2000), 233-247.

9. Analysis of a general age-dependent vaccination model for an SIR epidemic, International Journal of Applied Mathematics, Vol. 5, No. 2, (2001), 121-162.

10.  Stability and disease persistence in an age-structured epidemic model with vertical transmission and proportionate mixing assumption, Mathematical Sciences Research Journal, Vol. 7, No. 11, November (2003), pp. 430-445.

11. Analysis of an age-structured epidemic model with vertical transmission and proportionate mixing assumption, Mathematical Sciences Research Journal, August 2004 Vol. 8, No. 8, pp. 239-260.

12. Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: The case of vertically transmitted diseases, Journal of Applied mathematics, 2004: 3, pp. 235-253.

13. Stability Analysis for an SIR Age-Structured Epidemic Model with Vertical Transmission and Vaccination, International Journal of Ecology & Development, Volume 3 No. MA05, March-April 2005, pp. 1-38.

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).

15. A global stability result and existence and uniqueness of an age-dependent SI epidemic with disease-induced mortality and proportionate mixing assumption: The case of vertically transmitted diseases. International Journal of Ecology & Development, Vol. 4, No. W06, pp. 52-65, Winter 2006.

16. Remarks 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).
17. Analysis of an SIRS age-structured epidemic model with vaccination and vertical transmission of disease. AAM: Intern. J., Vol. 1, No. 1, pp. 36-61, (2006).

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

19. Global stability results and well posedness of an SI age-structured epidemic model with vertical transmission. AAM: Intern. J., Vol. 1, No. 2, pp. 126-140, (2006).

20. Global stability results of an SIS age-structured epidemic model with vertical transmission. AAM: Intern. J., Vol. 2, No. 1, pp. 32-50, (2007).

21. An age-structured population model with cannibalism. AAM: Intern. J., Vol. 2, No. 2, pp. 92-106, (2007).

22. Stability Analysis for the Gurtin-MacCamy’s Age-Structured Population Dynamics Model. AAM: Intern. J., Vol. 2, No. 2, pp. 144-151, (2007).

23. A note on Professor Jozsef Farkas’ Claims, AAM: Intern. J., Vol. 3, No. 1, pp. 1-3, (2008).

24. Remarks on the Stability of some Size-Structured Population models II: Changes in Vital Rates due to Size and Population size. AAM: Intern. J., Vol. 3, No. 1, pp. 113-127, (2008).
25. Remarks on the Stability of some Size-Structured Population models III: The case of constant inflow of newborns. AAM: Intern. J., Vol. 3, No. 2, pp. 200-217, (2008).

26. Remarks on the Stability of some Size-Structured Population Models IV: The General case of Juveniles and Adults. AAM: Intern. J., Vol. 4, No. 2, pp. 355-385, (2009).

27. Remarks on the Stability of some Size-Structured Population Models V: The case when the death rate depends on adults only and the growth rate depends on size only. AAM: Intern. J., Vol. 4, No. 2, pp. 386-406, (2009).

28. Remarks on the Stability of some Size-Structured Population Models VI: The case when the death rate depends on juveniles only and the growth rate depends on size only and the case when both rates depend on size only. AAM: Intern. J., Vol. 4, No. 2, pp. 407 – 427, (2009).

29. Stability Analysis of a Size-Structured Population Dynamics Model of Daphnia. IJPAM, Vol. 70, No. 2, 2011, 189 – 209.

30. Stability of a Size-Structured Population Model with a Constant Inflow of Newborns: The case when the death rate depends on juveniles only and the growth rate depends on size only and the case when both rates depend on size only. IJPAM, Vol. 70, No. 2, 2011, 229 – 260.

31. Stability Analysis of a Size-Structured Population Model when the Death rate 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 – 678.

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

33. A Size-Structured Population Dynamics Model of Daphnia. Applied Mathematics Letters, Vol. 25, 2012, pp. 1041-1044.

34. A Size-Structured Population Dynamics Model of Daphnia: An Example of Failure of The Principle of Linearized Stability. Eurasia International Journal of Mathematics, Vol. 1; Issue No. 2; 2012, pp. 23-28.

35. Stability analysis for a selection-mutation size-structured population dynamics model. Eurasia International Journal of Mathematics, Vol. 1; Issue No. 1; 2012, pp. 1-15.

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

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

38. A model for competition between several size-structured populations.  IJED, Vol. 23, Issue No. 3, 2012, pp. 80-98.

39. Stability Analysis of a Size-Structured Population Model with Maturation Size and a Constant Inflow of Newborns. International Journal of Ecological Economics & Statistics (IJEES), Vol. 28, No. 1, 2013, pp. 80-103.

40. New Stability Results for a Size-Structured Population Dynamics Modelof Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 2, 2012, pp. 49-59.

41. Well-posedness of a Size-Structured Population Dynamics Model of Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 65-75.

42. The Principle of Linearized Stability for a Size-Structured Population  Model of Daphnia. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 76-97.

43. Stability for Size-Structured Population Models with Maturation Size and The Principle of Linearized. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 1, 2012, pp. 41-64.

44. A model for competition between two size-structured populations. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 2, 2012, pp. 29-48.

45. Stability Analysis of a Size-Structured Population Model with Cannibalism and an Inflow of Newborns. Eurasia International Journal of Mathematics, Vol. 1, Issue No. 2, 2012, pp. 60-79.

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

47. Well-posedness of 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. S. A., 2014, 51-93.

48. The principle of linearized stability 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. S. A., 2014, 95-156.

49. Stability 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. S. A., 2014, 157-224.

50. An introduction to the book: Daphnia: Biology and Mathematics Perspectives (in Arabic). Arab Scientific Community Organization, 26/08/2014, with links:
http://arsco.org/detailed/4dbbd7d2-6412-4b34-bec6-ae0ab08578fb#.
http://www.arsco.org/detailed/4dbbd7d2-6412-4b34-bec6-ae0ab08578fb.