Almost periodic solutions for a class of discrete systems with Allee-effect
Yongkun Li; Li Yang; Wanqin Wu
Applications of Mathematics (2014)
- Volume: 59, Issue: 2, page 191-203
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topLi, Yongkun, Yang, Li, and Wu, Wanqin. "Almost periodic solutions for a class of discrete systems with Allee-effect." Applications of Mathematics 59.2 (2014): 191-203. <http://eudml.org/doc/261070>.
@article{Li2014,
abstract = {In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.},
author = {Li, Yongkun, Yang, Li, Wu, Wanqin},
journal = {Applications of Mathematics},
keywords = {discrete system; coincidence degree; almost periodic solution; Allee-effect; almost periodic solutions; Allee effects; discrete model; coincidence degree theory},
language = {eng},
number = {2},
pages = {191-203},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Almost periodic solutions for a class of discrete systems with Allee-effect},
url = {http://eudml.org/doc/261070},
volume = {59},
year = {2014},
}
TY - JOUR
AU - Li, Yongkun
AU - Yang, Li
AU - Wu, Wanqin
TI - Almost periodic solutions for a class of discrete systems with Allee-effect
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 2
SP - 191
EP - 203
AB - In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.
LA - eng
KW - discrete system; coincidence degree; almost periodic solution; Allee-effect; almost periodic solutions; Allee effects; discrete model; coincidence degree theory
UR - http://eudml.org/doc/261070
ER -
References
top- Agarwal, R. P., Wong, P. J. Y., Advanced Topics in Difference Equations, Mathematics and its Applications 404 Kluwer Academic Publishers, Dordrecht (1997). (1997) Zbl0878.39001MR1447437
- Alzabut, J. O., Stamov, G. T., Sermutlu, E., 10.1016/j.mcm.2010.07.029, Math. Comput. Modelling 53 (2011), 161-167. (2011) Zbl1211.34084MR2739253DOI10.1016/j.mcm.2010.07.029
- Cheban, D., Mammana, C., 10.1016/j.na.2003.09.009, Nonlinear Anal., Theory Methods Appl. 56 (2004), 465-484. (2004) Zbl1065.39026MR2035322DOI10.1016/j.na.2003.09.009
- Chen, Y., 10.1016/S0893-9659(03)90093-0, Appl. Math. Lett. 16 (2003), 1047-1051. (2003) Zbl1118.34327MR2013071DOI10.1016/S0893-9659(03)90093-0
- Chen, W., Liu, B., 10.1016/j.cam.2010.10.007, J. Comput. Appl. Math. 235 (2011), 2090-2097. (2011) Zbl1207.92042MR2763127DOI10.1016/j.cam.2010.10.007
- Chen, F., Xie, X., Chen, X., 10.1016/j.amc.2005.10.040, Appl. Math. Comput. 177 (2006), 118-127. (2006) Zbl1101.34058MR2234504DOI10.1016/j.amc.2005.10.040
- Chen, L., Zhao, H., 10.1016/j.chaos.2006.05.057, Chaos Solitons Fractals 35 (2008), 351-357. (2008) Zbl1140.34425MR2357008DOI10.1016/j.chaos.2006.05.057
- Cheng, S. S., Patula, W. T., 10.1016/0362-546X(93)90157-N, Nonlinear Anal., Theory Methods Appl. 20 (1993), 193-203. (1993) Zbl0774.39001MR1202198DOI10.1016/0362-546X(93)90157-N
- Ding, X., Lu, C., 10.1016/j.apm.2008.08.008, Appl. Math. Modelling 33 (2009), 2748-2756. (2009) Zbl1205.39001MR2502144DOI10.1016/j.apm.2008.08.008
- Fan, M., Wang, K., 10.1016/S0895-7177(02)00062-6, Math. Comput. Modelling 35 (2002), 951-961. (2002) Zbl1050.39022MR1910673DOI10.1016/S0895-7177(02)00062-6
- Freedman, H. I., Deterministic Mathematical Models in Population Ecology, Monographs and Textbooks in Pure and Applied Mathematics 57 Marcel Dekker, New York (1980). (1980) Zbl0448.92023MR0586941
- Gaines, R. E., Mawhin, J. L., 10.1007/BFb0089537, Lecture Notes in Mathematics 568 Springer, Berlin (1977). (1977) Zbl0339.47031MR0637067DOI10.1007/BFb0089537
- Huo, H., Li, W., 10.1016/S0096-3003(03)00635-0, Appl. Math. Comput. 153 (2004), 337-351. (2004) Zbl1043.92038MR2064661DOI10.1016/S0096-3003(03)00635-0
- Li, Y., Fan, X., 10.1016/j.apm.2008.05.013, Appl. Math. Modelling 33 (2009), 2114-2120. (2009) Zbl1205.34086MR2488268DOI10.1016/j.apm.2008.05.013
- Li, Y., Lu, L., 10.1016/j.amc.2004.06.082, Appl. Math. Comput. 167 (2005), 324-344. (2005) Zbl1087.39012MR2170919DOI10.1016/j.amc.2004.06.082
- Li, Y., Zhang, T., Ye, Y., 10.1016/j.apm.2011.04.034, Appl. Math. Modelling 35 (2011), 5448-5459. (2011) Zbl1228.39012MR2806184DOI10.1016/j.apm.2011.04.034
- Meng, X., Chen, L., 10.1016/j.jtbi.2006.07.010, J. Theoret. Biol. 243 (2006), 562-574. (2006) MR2306349DOI10.1016/j.jtbi.2006.07.010
- Meng, X., Jiao, J., Chen, L., 10.1016/j.na.2007.04.006, Nonlinear Anal., Theory Methods Appl. 68 (2008), 3633-3645. (2008) MR2416071DOI10.1016/j.na.2007.04.006
- Murray, J. D., Mathematical Biology, Biomathematics 19 Springer, Berlin (1989). (1989) Zbl0682.92001MR1007836
- Sun, Y. G., Saker, S. H., 10.1016/j.amc.2004.10.005, Appl. Math. Comput. 168 (2005), 1086-1097. (2005) Zbl1087.39015MR2171764DOI10.1016/j.amc.2004.10.005
- Teng, Z., Persistence and stability in general nonautonomous single-species Kolmogorov systems with delays, Nonlinear Anal., Real World Appl. 8 (2007), 230-248. (2007) Zbl1119.34056MR2268081
- Wu, W., Ye, Y., 10.1016/j.cnsns.2009.02.022, Commun. Nonlinear Sci. Numer. Simul. 14 (2009), 3993-4002. (2009) Zbl1221.34185MR2522901DOI10.1016/j.cnsns.2009.02.022
- Xie, Y., Li, X., 10.1016/j.amc.2008.05.085, Appl. Math. Comput. 203 (2008), 690-697. (2008) Zbl1166.34327MR2458985DOI10.1016/j.amc.2008.05.085
- Yan, J., Zhao, A., Yan, W., 10.1016/j.jmaa.2004.09.038, J. Math. Anal. Appl. 309 (2005), 489-504. (2005) Zbl1086.34066MR2154131DOI10.1016/j.jmaa.2004.09.038
- Yang, X., 10.1016/j.na.2008.02.023, Nonlinear Anal., Theory Methods Appl. 70 (2009), 1422-1429. (2009) Zbl1161.34355MR2474929DOI10.1016/j.na.2008.02.023
- Zhang, S., Zheng, G., 10.1016/S0096-3003(01)00165-5, Appl. Math. Comput. 131 (2002), 497-516. (2002) Zbl1029.39011MR1920242DOI10.1016/S0096-3003(01)00165-5
- Zhang, W., Zhu, D., Bi, P., 10.1016/j.aml.2006.11.005, Appl. Math. Lett. 20 (2007), 1031-1038. (2007) Zbl1142.39015MR2344777DOI10.1016/j.aml.2006.11.005
- Zhu, L., Li, Y., 10.1016/j.jmaa.2003.10.014, J. Math. Anal. Appl. 290 (2004), 654-664. (2004) Zbl1042.39005MR2033049DOI10.1016/j.jmaa.2003.10.014
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.