On positive periodic solutions of the time–space periodic Lotka–Volterra cooperating system in multi-dimensional media
This work is devoted to the study of the time–space periodic reaction–diffusion–advection Lotka–Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution un...
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| Published in | Nonlinear analysis: real world applications Vol. 72; p. 103866 |
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| Format | Journal Article |
| Language | English |
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01.08.2023
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| Abstract | This work is devoted to the study of the time–space periodic reaction–diffusion–advection Lotka–Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution under appropriate conditions. Finally, we are able to derive the asymptotic behavior of the solutions to the associated Cauchy problem. |
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| AbstractList | This work is devoted to the study of the time–space periodic reaction–diffusion–advection Lotka–Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution under appropriate conditions. Finally, we are able to derive the asymptotic behavior of the solutions to the associated Cauchy problem. |
| ArticleNumber | 103866 |
| Author | Du, Li-Jun |
| Author_xml | – sequence: 1 givenname: Li-Jun orcidid: 0000-0002-6476-6633 surname: Du fullname: Du, Li-Jun email: dulj20@chd.edu.cn organization: School of Science, Chang’an University, Xi’an, Shaanxi 710064, People’s Republic of China |
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| CitedBy_id | crossref_primary_10_1016_j_nonrwa_2024_104136 |
| Cites_doi | 10.1007/s00285-004-0313-3 10.1016/0022-0396(79)90156-6 10.1007/s10231-008-0075-4 10.1007/s002850100106 10.1016/j.jde.2010.05.007 10.1016/j.na.2004.10.008 10.1016/j.nonrwa.2010.06.033 10.1016/j.jfa.2008.06.030 10.4171/jems/47 10.57262/die/1371086981 10.1016/j.matpur.2009.04.002 10.1006/jmaa.1999.6412 10.1016/0362-546X(89)90054-0 10.1016/S0362-546X(00)85031-2 10.1006/jdeq.1999.3655 10.1016/j.jmaa.2004.09.014 10.1016/j.matpur.2004.10.006 10.1007/s10231-006-0015-0 10.1007/s00033-022-01915-5 10.1016/j.jfa.2022.109415 10.1016/S0362-546X(03)00048-8 10.1016/0362-546X(91)90202-C |
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| References | Maginu (b17) 1979; 31 Pao (b21) 2005; 304 Hess (b10) 1991 Berestycki, Hamel, Nadin (b24) 2008; 255 Lin, Liu, Pedersen (b15) 2011; 12 Amman (b16) 1978 Berestycki, Rossi (b4) 2006; 8 Brown, Hess (b9) 1991; 16 Nadin (b5) 2009; 4 Du, Li, Shen (b23) 2022; 282 Du, Bao (b22) 2023; 74 Pao (b20) 2005; 60 Zhao (b25) 2003 Hutson, Michaikow, Polacik (b19) 2001; 43 Berestycki, Hamel, Roques (b2) 2005; 84 Berestycki, Hamel, Roques (b1) 2005; 51 Pao (b12) 2000; 40 Ahmad, Lazer (b8) 1989; 13 Nadin (b7) 2009; 92 Wang, Li (b13) 2003; 53 Nadin (b6) 2010; 249 Delgado, López-Gómez, Suárez (b14) 2000; 160 Pao (b11) 1999; 234 López-Gómez (b18) 1992; 5 Berestycki, Hamel, Rossi (b3) 2007; 186 Brown (10.1016/j.nonrwa.2023.103866_b9) 1991; 16 Maginu (10.1016/j.nonrwa.2023.103866_b17) 1979; 31 Pao (10.1016/j.nonrwa.2023.103866_b12) 2000; 40 Amman (10.1016/j.nonrwa.2023.103866_b16) 1978 Pao (10.1016/j.nonrwa.2023.103866_b11) 1999; 234 Hutson (10.1016/j.nonrwa.2023.103866_b19) 2001; 43 Pao (10.1016/j.nonrwa.2023.103866_b20) 2005; 60 López-Gómez (10.1016/j.nonrwa.2023.103866_b18) 1992; 5 Pao (10.1016/j.nonrwa.2023.103866_b21) 2005; 304 Hess (10.1016/j.nonrwa.2023.103866_b10) 1991 Nadin (10.1016/j.nonrwa.2023.103866_b5) 2009; 4 Nadin (10.1016/j.nonrwa.2023.103866_b6) 2010; 249 Zhao (10.1016/j.nonrwa.2023.103866_b25) 2003 Du (10.1016/j.nonrwa.2023.103866_b23) 2022; 282 Berestycki (10.1016/j.nonrwa.2023.103866_b3) 2007; 186 Berestycki (10.1016/j.nonrwa.2023.103866_b24) 2008; 255 Du (10.1016/j.nonrwa.2023.103866_b22) 2023; 74 Delgado (10.1016/j.nonrwa.2023.103866_b14) 2000; 160 Nadin (10.1016/j.nonrwa.2023.103866_b7) 2009; 92 Berestycki (10.1016/j.nonrwa.2023.103866_b2) 2005; 84 Berestycki (10.1016/j.nonrwa.2023.103866_b1) 2005; 51 Ahmad (10.1016/j.nonrwa.2023.103866_b8) 1989; 13 Wang (10.1016/j.nonrwa.2023.103866_b13) 2003; 53 Lin (10.1016/j.nonrwa.2023.103866_b15) 2011; 12 Berestycki (10.1016/j.nonrwa.2023.103866_b4) 2006; 8 |
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| Title | On positive periodic solutions of the time–space periodic Lotka–Volterra cooperating system in multi-dimensional media |
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