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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机构:
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
]
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:
Changsha Univ, Sch Math, Changsha 410022, Hunan, Peoples R ChinaChangsha Univ, Sch Math, Changsha 410022, Hunan, Peoples R China
Liu, Changfeng
Guo, Shangjiang
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China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
China Univ Geosci, Ctr Math Sci, Wuhan 430074, Hubei, Peoples R ChinaChangsha Univ, Sch Math, Changsha 410022, Hunan, Peoples R China
机构:
CNR IMATI Enrico Magenes, Via Alfonso Corti 12, I-20133 Milan, ItalyCNR IMATI Enrico Magenes, Via Alfonso Corti 12, I-20133 Milan, Italy
Pasquali, S.
Soresina, C.
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Karl Franzens Univ Graz, Inst Math & Wissenschaftliches Rechnen, Heinrichstr 36, A-8010 Graz, AustriaCNR IMATI Enrico Magenes, Via Alfonso Corti 12, I-20133 Milan, Italy
Soresina, C.
Marchesini, E.
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AGREA Srl Ctr Studi, Via Garibaldi 5-16, I-37057 S Giovanni Lupatoto, VR, ItalyCNR IMATI Enrico Magenes, Via Alfonso Corti 12, I-20133 Milan, Italy