Solutions of Impulsive Diffusion and Von-Foerster-Makendrick Models Using the B-Transform

Show more

References

[1] B. O. Oyelami and S. O. Ale, “B-transform Method and its Applications, in obtaining Solutions of some Impulsive Models,” International Journal of Mathematical Education in Science and Technology, Vol. 31, No. 4, 2000, pp. 525-538. http://dx.doi.org/10.1080/002073900412633

[2] S. O. Ale and B. O. Oyelami, “Impulsive System and Applications,” International Journal of Mathematical Education in Science and Technology, Vol. 31, No. 4, 2000, pp. 539-544.

http://dx.doi.org/10.1080/002073900412642

[3] D. D. Bainov, V. Lakshikantham and P. S. Simeonov, “Theory of Impulsive Differential Equations,” World Scientific Publication, Singapore, 1989.

[4] P. S. Simeonov and D. D. Bainov, “Theory of Impulsive Differential Equations: Periodic Solutions and Applications,” Essex, Longman, 1993.

[5] E. Beltrami, “Mathematics for Dynamic Modeling,” Academy Press, London, 1987.

[6] B. O. Oyelami, “On Military Model for Impulsive Reinforcement Functions using Exclusion and Marginalization Techniques,” Nonlinear Analysis, Vol. 35, No. 8, 1999, pp. 947-958.

http://dx.doi.org/10.1016/S0362-546X(98)00114-X

[7] B. O. Oyelami, S. O. Ale, P. Onumanyi and J. A. Ogidi, “B-Transform Method and Application to Sickle Cell Aneamia,” 2008, pp. 202-220.

http://sirius-c.ncat.edu/asn/ajp/allissue/ajp-ISOTPAND/index.html

[8] B. O. Oyelami and S. O. Ale, “On Existence of Solution, Oscillation and Non-Oscillation Properties of Delay Equations Containing ‘Maximum’,” Acta Applicandae Mathematicae Journal, Vol. 109, No. 3, 2010, pp. 683701. http://dx.doi.org/10.1007/s10440-008-9340-1

[9] P. S. Simeonov and D. D. Bainov, “Impulsive Differential Equation: Asymptotic Properties of the Solutions,” World Scientific Publication, Singapore, 1989.

[10] S. G. Pandit and H. Deo Sudashiv, “Differential Systems Involving Impulsive. Lecture Notes in Maths,” SpringerVerlag, Berlin-Heidelberg-New York, 1982.

[11] B. O. Oyelami and S. O. Ale, “B-Transform and Its Applications to a Fish-Hyacinth Model,” International Journal of Mathematical Education in Science and Technology, Vol. 33, No. 4, 2002, pp. 565-573.

http://dx.doi.org/10.1080/00207390210131353

[12] B. O. Oyelami, S. O. Ale, P. Onumanyi and J. A. Ogidi, “Impulsive HIV-1 Model in the Presence of Antiretroviral Drugs Using B-Transform Method,” Proceedings of African Mathematical Union, Vol. 1, No. 1, 2003, pp. 6276.

[13] B. O. Oyelami, S. O. Ale and P. Onumanyi, “Impulsive HIV Model Using B-Transform,” The Proceedings of National Mathematical Centre on Conference on Computational Mathematics, Vol. 2, No. 1, 2005, pp. 50-64.

http://nmcabuja.org/nmc_proceedings.html

[14] B. Davies, “Brian Davies Integral Transforms and Their Applications,” Springer Publisher, Berlin-HeidelbergNew York, 2002.

[15] M. B. V. Robert, “Biology; a Functional Approval,” Nelson Butler and Tanner Ltd., Rome and London, 1971.

[16] V. Lakshimikantham and Z. Dric, “Positivity and Boundedness of Solutions of Impulsive Reaction-Diffusion Equations,” Journal of Computational and Applied Mathematics, Vol. 88, No. 1, 1988, pp. 175-184.

http://dx.doi.org/10.1016/S0377-0427(97)00210-0

[17] L. H. Erbe, H. I. Freeman, X. Z. Lin and H. J. Wu, “Comparison Principles for Impulsive Parabolic Species Growth,” The Journal of the Australian Mathematical Society, Series B, Vol. 32, No. 4, 1991, pp. 382-400.

[18] S. O. Ale and B. O. Oyelami, “On Chemotherapy of Impulsive Models Involving Malignant Cancer Cells,” Abacus, Journal of Mathematical Association of Nigeria, Vol. 24, No. 2, 1996, pp. 1-10.

[19] B. O. Oyelami and S. O. Ale, “Impulsive Differential Equations and Applications to Some Models: Theory and Applications. A Monograph,” Lambert Academic Publisher, Saarbrücken, 2012.