Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season
In the paper, we introduce a differential equations model of paddy ecosystems in the fallow season to study the effect of weeds removal from the paddy fields. We found that there is an unstable equilibrium of the extinction of weeds and herbivores in the system. When the intensity of weeds removal m...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8716314 |
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| author | Leru Zhou Zhigang Liu Tiejun Zhou |
| author_facet | Leru Zhou Zhigang Liu Tiejun Zhou |
| author_sort | Leru Zhou |
| collection | DOAJ |
| description | In the paper, we introduce a differential equations model of paddy ecosystems in the fallow season to study the effect of weeds removal from the paddy fields. We found that there is an unstable equilibrium of the extinction of weeds and herbivores in the system. When the intensity of weeds removal meets certain conditions and the intrinsic growth rate of herbivores is higher than their excretion rate, there is a coexistence equilibrium state in the system. By linearizing the system and using the Routh–Hurwitz criterion, we obtained the local asymptotically stable conditions of the coexistence equilibrium state. The critical value formula of the Hopf bifurcation is presented too. The model demonstrates that weeds removal from paddy fields could largely reduce the weeds biomass in the equilibrium state, but it also decreases the herbivore biomass, which probably reduces the content of inorganic fertilizer in the soil. We found a particular intensity of weeds removal that could result in the minimum content of inorganic fertilizer, suggesting weeds removal should be kept away from this intensity. |
| format | Article |
| id | doaj-art-cd0a0aaab83a45d999a592d69f9079e6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cd0a0aaab83a45d999a592d69f9079e62025-02-03T01:25:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/87163148716314Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow SeasonLeru Zhou0Zhigang Liu1Tiejun Zhou2College of Resources and Environment, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, ChinaCollege of Information and Intelligence Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaCollege of Information and Intelligence Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaIn the paper, we introduce a differential equations model of paddy ecosystems in the fallow season to study the effect of weeds removal from the paddy fields. We found that there is an unstable equilibrium of the extinction of weeds and herbivores in the system. When the intensity of weeds removal meets certain conditions and the intrinsic growth rate of herbivores is higher than their excretion rate, there is a coexistence equilibrium state in the system. By linearizing the system and using the Routh–Hurwitz criterion, we obtained the local asymptotically stable conditions of the coexistence equilibrium state. The critical value formula of the Hopf bifurcation is presented too. The model demonstrates that weeds removal from paddy fields could largely reduce the weeds biomass in the equilibrium state, but it also decreases the herbivore biomass, which probably reduces the content of inorganic fertilizer in the soil. We found a particular intensity of weeds removal that could result in the minimum content of inorganic fertilizer, suggesting weeds removal should be kept away from this intensity.http://dx.doi.org/10.1155/2020/8716314 |
| spellingShingle | Leru Zhou Zhigang Liu Tiejun Zhou Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season Discrete Dynamics in Nature and Society |
| title | Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season |
| title_full | Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season |
| title_fullStr | Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season |
| title_full_unstemmed | Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season |
| title_short | Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season |
| title_sort | qualitative analysis of the effect of weeds removal in paddy ecosystems in fallow season |
| url | http://dx.doi.org/10.1155/2020/8716314 |
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