Free boundary models for mosquito range movement driven by climate warming
type: Item
instance of: scholarly article
title: Free boundary models for mosquito range movement driven by climate warming
zbMATH Open document ID: 1402.35283
author: Yihong Du
author: Zhigui Lin
author: Wendi Bao
author: Huanping Zhu
published in: Journal of Mathematical Biology
publication date: 2018-04-05T00:00:00Z
review text: The authors proposed three diffusive logistic models with free boundary to describe the evolution of mosquito population and range in a varying environment. That is how it can be understood the phenomenon that mosquitoes respond to warming climate by shifting their range boundaries. The second model is a simplified version of the first one. The third model is of seasonal succession type, which is more realistic in that it takes into account of the seasonal changes of mosquito movements in each year. In fact, the authors assume that, during the warm seasons of the year, the mosquitoes evolve according to first model, but during the cold seasons, the mosquito range is fixed and the population is assumed to be in a hibernating status. The authors also present some numerical simulations for the three models and some discussions on the effectiveness of the models in describing the movement of the mosquito population and range driven by warming climate.
reviewed by: Marin I. Marin
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 92-08
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 6856361
zbMATH Keywords: mosquito range movement
zbMATH Keywords: climate change
zbMATH Keywords: warming
zbMATH Keywords: diffusive logistic equation
zbMATH Keywords: free boundary
MaRDI profile type: Publication
full work available at URL: s00285-017-1159-9
OpenAlex ID: W2738072709
Wikidata QID: Q44167039
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DOI: 10.1007/S00285-017-1159-9
description: scientific article; zbMATH DE number 6856361