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Abstrakty
The subject of our considerations is a generalized von Foerster equation in many spatial variables. We present a discretization method of the initial value problem and study stability of finite difference schemes on regular meshes.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
117--124
Opis fizyczny
Bibliogr. 16 poz., tab.
Twórcy
autor
- Institute of Mathematics, University of Gdańsk, Gdańsk; Faculty of Mathematics and Computer Sciences, Nicolaus Copernicus University, Toruń, zwierkow@mat.uni.torun.pl
Bibliografia
- [1] Brauer F., Castillo-Chavez C: Mathematical Models in Population Biology and Epidemiology. New York, Springer-Verlag 2001
- [2] Czyżewska-Ważewska M., Lasota A., Mackey M. C: Maximizing chances of survival. Journ. Math. Biol., 13 (1981), 149-158
- [3] Dawidowicz A. L., Łoskot K.: Existence and uniques of solution of some integro-differential equation. Ann. Polon. Math., 47 (1986), 79-87
- [4] von Foerster H.: Some remarks on changing populations. In The Kinetics of Celural Proliferation. New York, Grune and Stratton 1959
- [5] Gurtin M. E.: A system of equations for age-dependent population diffusion. J. Theor. Biol., 40 (1973), 389-392
- [6] Gurtin M. E., McCamy R.: Non-linear age-dependend Population Dynamics. Arch. Rat. Mech. Anal., 54 (1974), 281-300
- [7] Kamont Z.: Hyperbolic Functional Differential Inequalities and Applications. Kluwer Academic Publishers, 1999
- [8] Keyfitz N.: Introduction to the Mathematics of Population. Addison-Wesley, Reading 1968
- [9] Langhaar H. L.: General population theory in the age-time continuum. J. Franklin Inst., 293 (1972), 199-214
- [10] Leszczyński H.: Convergence results for unbounded solutions of first order partial differential equations. Ann. Polon. Math., 54 (1996), 1-16
- [11] Lotka A. J.: Elements of Physical Biology. Wiliams and Wilkins, Baltimore 1925, republished as Elements of Mathematical Biology. New York, Dover 1956
- [12] Nahushev A.M.: Equations of Mathematical Biology, (in Russian) Moscow, Vysshaya Shkola 1995
- [13] Smith J.M.: Mathematical Ideas in Biology. Cambridge University Press, 1968
- [14] Thompson W. J.: Computing for Scientists and Engineers. John Wiley & Sons, INC, 1992
- [15] Verhulst P. F.: Recherches mathematiques sur la loi d'accroissement de la population. Mem. Acad. Roy. Bruxelles, 18 1
- [16] Verhulst P. F.: Recherches mathematiques sur la loi d'accroissement de la population. Mem. Acad. Roy. Bruxelles, 20 1
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0005-0092