A generalized Holling type Ⅱ model for the interaction between dextral-sinistral snails and Pareas snakes

Alonso Izquierdo A.; Gonzalez Leon M. A.; de la Torre Mayado M.

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A generalized Holling type Ⅱ model for the interaction between dextral-sinistral snails and Pareas snakes

机译：右旋正弦蜗牛与帕雷亚斯蛇相互作用的广义HollingⅡ型模型

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Pareas snakes possess outstanding asymmetry in the mandibular tooth number, which has probably been caused by its evolution to improve the feeding on the predominant dextral snails. Gene mutation can generate chiral inversion on the snail body. A sinistral snail population can thrive in this ecological context. The interactions between dextral/sinistral snails and Pareas snakes are modeled in this paper by using a new generalized functional response of Holling type II. Distinct Pareas species show different bilateral asymmetry degrees. This parameter plays an essential role in the model and determines the evolution of the populations. Stability of the solutions is analyzed for different regimes in the space of parameters. (C) 2019 Elsevier Inc. All rights reserved.

机译：Pareas蛇的下颌齿数具有突出的不对称性，这可能是由于其进化以改善对主要右蜗牛的摄食而引起的。基因突变可在蜗牛体内产生手性倒位。在这种生态环境中，鼻祖蜗牛种群可以繁衍生息。本文利用新的广义II型Holling功能响应，对右旋/正弦蜗牛与帕雷亚斯蛇之间的相互作用进行了建模。不同的Pareas物种表现出不同的双侧不对称度。该参数在模型中起着至关重要的作用，并决定了种群的演变。分析了参数空间中不同方案的解的稳定性。（C）2019 Elsevier Inc.保留所有权利。

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来源
《Applied Mathematical Modelling》 |2019年第9期|459-472|共14页
作者
Alonso Izquierdo A.; Gonzalez Leon M. A.; de la Torre Mayado M.;
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作者单位

Univ Salamanca, Dept Matemat Aplicada, Salamanca, Spain|Univ Salamanca, IUFFyM, Salamanca, Spain;

Univ Salamanca, Dept Matemat Aplicada, Salamanca, Spain|Univ Salamanca, IUFFyM, Salamanca, Spain;

Univ Salamanca, Dept Fis Fundamental, Salamanca, Spain|Univ Salamanca, IUFFyM, Salamanca, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Predator-prey model; Generalized Holling's functional response; Stability; Snail chirality;

机译：捕食者-食饵模型广义Holling功能反应稳定性蜗牛手性;

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专利

1. A generalized Holling type Ⅱ model for the interaction between dextral-sinistral snails and Pareas snakes [J] . Alonso Izquierdo A., Gonzalez Leon M. A., de la Torre Mayado M. Applied Mathematical Modelling . 2019,第Sepa期

机译：德克拉尔尖锐蜗牛与肛像之间相互作用的广义HollingⅡ型模型
2. Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III [J] . Etoua R.M., Rousseau C. Journal of Differential Equations . 2010,第9期

机译：具有猎物收获和III型广义Holling响应函数的广义Gause模型的分叉分析。
3. Diseased prey predator model with general Holling type interactions [J] . Banshidhar Sahoo, Swarup Poria Applied mathematics and computation . 2014,第Null期

机译：具有一般Holling型相互作用的病态捕食者模型
4. Dynamical Complexity of a Biological Prey-Predator Model with Generalized Holling Type II Functional Response [C] . Ji Zhang, Fu Qin Sun International Conference on Intelligent Networks and Intelligent Systems . 2015

机译：具有广义Holling II类功能性反应的生物捕食者模型的动力学复杂性
5. Phylogenetic relationships and feeding behavior of neotropical snail-eating snakes (Dipsadinae, Dipsadini). [D] . Sheehy, Coleman Matthew, III. 2012

机译：系统发育关系和食性新嗜蜗牛的蛇（Dipsadinae，Dipsadini）。
6. Diseased prey predator model with general Holling type interactions [O] . Banshidhar Sahoo, Swarup Poria -1

机译：具有一般Holling型相互作用的病态捕食者模型
7. A generalized Holling type II model for the interaction between dextral-sinistral snails and Pareas snakes [O] . A. Alonso Izquierdo, M.A. González León, M. de la Torre Mayado 2019

机译：德克拉尔 - 尖锐蜗牛与肛像之间相互作用的广义Holling型II模型
8. Accommodating Spatial Interactions in a Generalized Heterogeneous Data Model (GHDM) of Mixed Types of Dependent Variables. [R] . Bhat, C. R., Dubey, S. K., Pinjari, A. R. 2015

机译：适应混合类型相依变量的广义异构数据模型（GHDm）中的空间相互作用。

A generalized Holling type Ⅱ model for the interaction between dextral-sinistral snails and Pareas snakes

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