Effect of constant immigration in plant–pathogen–herbivore interactions
This paper presents a model for plants subject to a disease, harvested by (insect) herbivores and it also includes natural enemies of the latter. Basic results on boundedness, feasibility of equilibria, uniform persistence and local and global stability issues are investigated. Numerical simulations...
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| Published in | Mathematics and computers in simulation Vol. 160; pp. 192 - 200 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.06.2019
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper presents a model for plants subject to a disease, harvested by (insect) herbivores and it also includes natural enemies of the latter. Basic results on boundedness, feasibility of equilibria, uniform persistence and local and global stability issues are investigated. Numerical simulations are carried out in order to validate the applicability of the model under consideration. |
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| AbstractList | This paper presents a model for plants subject to a disease, harvested by (insect) herbivores and it also includes natural enemies of the latter. Basic results on boundedness, feasibility of equilibria, uniform persistence and local and global stability issues are investigated. Numerical simulations are carried out in order to validate the applicability of the model under consideration. |
| Author | Mukherjee, Debasis |
| Author_xml | – sequence: 1 givenname: Debasis surname: Mukherjee fullname: Mukherjee, Debasis email: mukherjee1961@gmail.com organization: Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata 700063, India |
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| Cites_doi | 10.1007/s10886-007-9405-z 10.1016/j.ecolmodel.2009.07.003 10.1142/S0218339011004044 10.1080/07352680600899973 10.1146/annurev.ento.51.110104.151117 10.1007/BF01540776 10.1163/156854288X00111 10.1142/S0218339008002678 10.1104/pp.107.113118 10.1146/annurev.es.11.110180.000353 10.1016/j.bbalip.2005.03.001 10.1006/jmaa.1994.1079 10.1016/S1360-1385(96)90004-7 10.1146/annurev.phyto.43.113004.133839 |
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| Keywords | Persistence Bifurcation Stability Plant defense Global stability |
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| SubjectTerms | Bifurcation Global stability Persistence Plant defense Stability |
| Title | Effect of constant immigration in plant–pathogen–herbivore interactions |
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