Coexistence and Replacement of Two Different Maturation Strategies Adopted by a Stage-Structured Population
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作者:
Xue, Shuyang
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Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
Xue, Shuyang
[1
,2
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机构:
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
[2] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
Maturation strategies play a key role in the survival and development of populations. In response to changes in the external environment and human interventions, populations adopt appropriate maturation strategies. Different maturation strategies can lead to different birth and mortality rates. In this paper, we develop and analyze a stage-structured population model with two maturation strategies to obtain conditions for the coexistence of two maturation strategies and conditions for competitive exclusion. Our results also show that equality of fitness-represented by basic reproductive numbers being greater than 1 under different maturation strategies-promotes the coexistence of the two strategies. The reason why a strategy is replaced by another one is that the population adopting this strategy has weak fitness, which is measured by the basic reproductive number.
机构:
Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R ChinaShanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
Wu, Xiaotian
Magpantay, Felicia Maria G.
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Univ Michigan, Rohani Lab, Ann Arbor, MI 48104 USAShanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
Magpantay, Felicia Maria G.
Wu, Jianhong
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York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
York Inst Hlth Res, Ctr Dis Modelling, Toronto, ON M3J 1P3, CanadaShanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
Wu, Jianhong
Zou, Xingfu
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Westren Univ, Dept Appl Math, London, ON N6A 5B7, CanadaShanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
机构:
Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaCitta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
Wang, W.
Mulone, G.
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Citta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, ItalyCitta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy