Journal of Pure and Applied Mathematics: Advances and Applications[1] G. Birkhoff and G-C. Rota, Ordinary Differential Equations, 3rd
Edition, John Wiley and Sons 1978.
[2] J. W. Brewer, The age-dependent eigenfunctions of certain
kolmogorov equations of 3engineering, Economics and Biology, Appl.
Math. Modelling 13 (1989), 47-57.
[3] C. Castillo-Chavez, Linear character-dependent models with
constant time delay in population dynamics, Math. Modelling 9(11)
(1987), 821-836.
[4] R. F. Chapman, The Insects: Structure and Function, English Univ.
Press, London 1969.
[5] O. Diekmann and H. J. A. M. Heymans, Nonlinear dynamical systems:
worked examples, perspectives and open problems, The Dynamics of
Physiologically Structured Populations, J. A. J. Metz and O. Diekmann,
eds., Springer Verlag, Lecture Notes in Biomathematics 68 (1986),
203-243.
[6] P. van den Driessche and J. Watmough, Reproduction numbers and
sub-threshold endemic equilibria for compartmental models of disease
transmission, Math. Biosci. 180 (2002), 29-48.
[7] M. El-Doma, Stability analysis for the Gurtin-MacCamy’s
age-strucutred population dynamics model, AAM: Intern. J. 2(2)
(2007a), 144-151.
[8] M. El-Doma, Age-structured population model with cannibalism, AAM:
Intern. J. 2(2) (2007b), 92-106.
[9] M. E. Gurtin and R. C. MacCamy, Nonlinear age-dependent population
dynamics, Arch. Ration, Mech. Analysis 54 (1974), 281-300.
[10] N. Hritonenko, Modelling of age-and-stage structured populations,
Int. J. Ecol. Econ. Stat. 5(F06) (2006), 20-26.
[11] R. P. Kanwal, Linear Integral Equations: Theory and Technique,
Academic Press, New York and London, 1971.
[12] R. M. Nisbet and W. S. C. Gurney, The Formulation of
Age-Structure Models: in Mathematical Ecology, An Introduction, Hallam
T.G. and Levin S. A. (Eds.), Springer-Verlag, (1986), 95-115.
[13] R. M. Nisbet and W. S. C. Gurney, The systematic formulation of
population models of insects with dynamically varying instar duration,
Theor. Popul. Biol. 23 (1983), 114-135.
[14] I. G. Petrovskii, Lectures on the theory of integral equations,
Graylock Press, Rochester, N. Y. 1957.
[15] R. Rosen, On models and modeling, Appl. Math. Comput. 56 (1993),
359-372.
[16] J. W. Sinko and W. Streifer, A new model for age-size structure
of a population, Ecol. 48(6) (1967), 910-918.
[17] L. B. Slobodkin, An algebra of population growth, Ecology, 34(3)
(1953), 513-519.
[18] C. O. A. Sowunmi, Time discrete 2-sex population model with
gestation period, Banach Center Publications 63 (2004), 259-266.
[19] C. O. A. Sowunmi, Stability of steady state and boundedness of a
2-sex population model, Nonlinear Anal. 39 (2000), 693-709.
[20] C. O. A. Sowunmi, A model of heterosexual population dynamics
with age-structure and gestation period, J. Math. Anal. App. 72(2)
(1993), 390-411.
[21] C. O. A. Sowunmi, Female dominant age-dependent deterministic
population Dynamics, J. Math. Biol. 3 (1976), 9-17.
[22] W. Streifer, Realistic models in population ecology, Advances in
Ecological Research 8, A. MacFayden, ed., Academic Press, London-New
York, 1974.
[23] J. M. Tchuenche, A note on the MacKendrick Von Foerster type
model in a population with genetic structure, Int. J. Math. Educ. Sci.
Technol, 34(3) (2003), 463-470.
[24] J. M. Tchuenche, Theoretical population dynamics model of a
genetically transmitted disease: Sickle-Cell Anaemia, Bull. Math.
Biol. 69(2) (2007), 699-730.
[25] E. J. Watson, Laplace transforms and applications. New York: von
Nostrand Reinhold, 1981.
[26] G. M. Wing, A Primer on integral equations of the first kind,
SIAM Philadelphia, 1991.
