Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change
The soybean aphid (Aphis glycines) is an invasive insect pest that continues to cause large-scale damage to soybean crops in the North Central United States. Recent empirical evidence points to differential fitness in the pestiferous aphid biotypes under abiotic stresses such as flooding. As climate...
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AIMS Press
2025-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2025023 |
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| author | Aniket Banerjee Urvashi Verma Margaret T. Lewis Rana D. Parshad |
| author_facet | Aniket Banerjee Urvashi Verma Margaret T. Lewis Rana D. Parshad |
| author_sort | Aniket Banerjee |
| collection | DOAJ |
| description | The soybean aphid (Aphis glycines) is an invasive insect pest that continues to cause large-scale damage to soybean crops in the North Central United States. Recent empirical evidence points to differential fitness in the pestiferous aphid biotypes under abiotic stresses such as flooding. As climate change predicts increased flooding in the North Central United States, mathematical models that incorporate such factors are required to better inform pest management strategies. Motivated by these empirical results, we considered the effect of non-smooth Allee type mechanisms, for the two species Lotka-Volterra competition model. We showed that this mechanism can alter classical competitive dynamics in both the ordinary differential equation (ODE) as well as the spatially explicit setting. In particular, an Allee effect present in the weaker competitor could lead to bi-stability dynamics, as well as competitive exclusion reversal. We discuss applications of our results to pest management strategies for soybean aphids in the context of a changing climate. |
| format | Article |
| id | doaj-art-2e9b78529e6b4cc8a437b4ca3351d55a |
| institution | OA Journals |
| issn | 1551-0018 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2e9b78529e6b4cc8a437b4ca3351d55a2025-08-20T02:26:03ZengAIMS PressMathematical Biosciences and Engineering1551-00182025-02-0122360465110.3934/mbe.2025023Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate changeAniket Banerjee0Urvashi Verma1Margaret T. Lewis2Rana D. Parshad3Sorbonne Université, Université Paris Cité, CNRS, Laboratoire Jacques-Louis Lions, F-75005 Paris, FranceDepartment of Mathematics, Iowa State University, IA 50011, USADepartment of Entomology, Ohio State University, OH 43210, USADepartment of Mathematics, Iowa State University, IA 50011, USAThe soybean aphid (Aphis glycines) is an invasive insect pest that continues to cause large-scale damage to soybean crops in the North Central United States. Recent empirical evidence points to differential fitness in the pestiferous aphid biotypes under abiotic stresses such as flooding. As climate change predicts increased flooding in the North Central United States, mathematical models that incorporate such factors are required to better inform pest management strategies. Motivated by these empirical results, we considered the effect of non-smooth Allee type mechanisms, for the two species Lotka-Volterra competition model. We showed that this mechanism can alter classical competitive dynamics in both the ordinary differential equation (ODE) as well as the spatially explicit setting. In particular, an Allee effect present in the weaker competitor could lead to bi-stability dynamics, as well as competitive exclusion reversal. We discuss applications of our results to pest management strategies for soybean aphids in the context of a changing climate.https://www.aimspress.com/article/doi/10.3934/mbe.2025023non-smooth dynamical systemcoexistenceallee effectbi-stabilitybifurcationsfinite time extinctionreaction-diffusion systemsdifferential fitnesssoybean aphid controlclimate change |
| spellingShingle | Aniket Banerjee Urvashi Verma Margaret T. Lewis Rana D. Parshad Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change Mathematical Biosciences and Engineering non-smooth dynamical system coexistence allee effect bi-stability bifurcations finite time extinction reaction-diffusion systems differential fitness soybean aphid control climate change |
| title | Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change |
| title_full | Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change |
| title_fullStr | Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change |
| title_full_unstemmed | Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change |
| title_short | Two species competition with a 'non-smooth' Allee mechanism: applications to soybean aphid population dynamics under climate change |
| title_sort | two species competition with a non smooth allee mechanism applications to soybean aphid population dynamics under climate change |
| topic | non-smooth dynamical system coexistence allee effect bi-stability bifurcations finite time extinction reaction-diffusion systems differential fitness soybean aphid control climate change |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2025023 |
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