Voir la notice de l'article provenant de la source Cambridge University Press
Freedman, H. I.; Gopalsamy, K. Nonoccurence of Stability Switching in Systems with Discrete Delays. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 52-58. doi: 10.4153/CMB-1988-008-0
@article{10_4153_CMB_1988_008_0,
author = {Freedman, H. I. and Gopalsamy, K.},
title = {Nonoccurence of {Stability} {Switching} in {Systems} with {Discrete} {Delays}},
journal = {Canadian mathematical bulletin},
pages = {52--58},
year = {1988},
volume = {31},
number = {1},
doi = {10.4153/CMB-1988-008-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-008-0/}
}
TY - JOUR AU - Freedman, H. I. AU - Gopalsamy, K. TI - Nonoccurence of Stability Switching in Systems with Discrete Delays JO - Canadian mathematical bulletin PY - 1988 SP - 52 EP - 58 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-008-0/ DO - 10.4153/CMB-1988-008-0 ID - 10_4153_CMB_1988_008_0 ER -
%0 Journal Article %A Freedman, H. I. %A Gopalsamy, K. %T Nonoccurence of Stability Switching in Systems with Discrete Delays %J Canadian mathematical bulletin %D 1988 %P 52-58 %V 31 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-008-0/ %R 10.4153/CMB-1988-008-0 %F 10_4153_CMB_1988_008_0
[1] 1. Blythe, S. P., Nisbet, R. M., Gurney, W. S. C. and MacDonald, N., Stability switches in distributed delay models, J. Math. Anal. Appl. 109 (1985), pp. 388–396. Google Scholar
[2] 2. Cooke, K. L., Stability of delay differential equations with applications in biology and medicine, in Mathematics in Biology and Medicine, Lecture Notes in Biomathematics No. 57, Springer-Verlag, Heidelberg (1985), pp. 439–446. Google Scholar
[3] 3. Cooke, K. L. and Grossman, Z., Discrete delay, distributed delay and stability switches, J. Math. Anal. Appl. 86 (1982), pp. 592–627. Google Scholar
[4] 4. Cooke, K. L. and van den Driessche, P., On zeroes of some transcendental equations, Funkcialaj Ekvacioj, Vol. 29 (1986), pp. 77–90. Google Scholar
[5] 5. Clashing, J. M., Integrodifferential equations and delay models in population dynamics, Lecture Notes in Biomathematics No. 20, Springer-Verlag, Heidelberg, 1977.10.1007/978-3-642-93073-7 Google Scholar
[6] 6. Freedman, H. I., Addicott, J. F. and Rai, B., Nonobligate and obligate models of mutualism, in Population Biology Proceedings, Edmonton 1982, Lecture Notes in Biomathematics No. 52, Springer-Verlag, Heidelberg (1983), pp. 349–354. Google Scholar
[7] 7. Freedman, H. I. and Rao, V. S. H., The trade-off between mutual interference and time delays in predator-prey systems, Bull. Math. Biol. 45 (1983), pp. 991–1004. Google Scholar
[8] 8. Freedman, H. I. and Rao, V. S. H., Stability criteria for a system involving two time delays, SIAM J. Appl. Math. 46 (1986), pp. 552–560. Google Scholar
[9] 9. Gopalsamy, K., Delayed responses and stability in two-species systems, J. Austral. Math. Soc. Ser. B. 25 (1984), pp. 473–500. Google Scholar
[10] 10. Gopalsamy, K. and Aggarwala, B. D., Limit cycles in two species competition with time delays, J. Austral. Math. Soc. Ser. B. 22 (1980), pp. 148–160. Google Scholar
[11] 11. Hale, J. K., Infante, E. F. and Tsen, F.-S. P., Stability in linear delay equations, J. Math. Anal. Appl., 105 (1985), pp. 533–555. Google Scholar
[12] 12. MacDonald, N., Time lags in biological models, Lecture Notes in Biomathematics No. 27, Springer-Verlag, Heidelberg, 1978. Google Scholar
[13] 13. Mahaffy, J. M., A test for stability of linear differential-delay equations, Quart. Appl. Math. 40 (1982), pp. 193–202. Google Scholar
[14] 14. Nunney, L., The effect of long time delays in predator-prey systems, Theor. Pop. Biol. 27 (1985), pp. 202–221. Google Scholar
[15] 15. Nussbaum, R. D., Differential-delay equations with two time lags, Mem. Amer. Math. Soc. No. 205, Amer. Math. Soc., Providence, 1978. Google Scholar
Cité par Sources :