scholarly journals The Evolution of Immigration Strategies Facilitates Niche Expansion by Divergent Adaptation in a Structured Metapopulation Model

2020 ◽  
Vol 195 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Éva Kisdi ◽  
Helene C. Weigang ◽  
Mats Gyllenberg
Keyword(s):  
Metapopulation Model ◽  
Niche Expansion ◽  
Structured Metapopulation

Deterministic approximation of a stochastic metapopulation model

2003 ◽  
Vol 35 (03) ◽  
pp. 691-720 ◽  
Author(s):  
Francesca Arrigoni
Keyword(s):  
Differential Equations ◽  
Random Process ◽  
Infinite System ◽  
Convergent Subsequence ◽  
Probability Measures ◽  
Metapopulation Model ◽  
Uniqueness Of The Solution ◽  
Limit Behaviour ◽  
Number Of Individuals ◽  
Structured Metapopulation

We analyse the limit behaviour of a stochastic structured metapopulation model as the number of its patches goes to infinity. The sequence of probability measures associated with the random process, whose components are the proportions of patches with different number of individuals, is tight. The limit of every convergent subsequence satisfies an infinite system of ordinary differential equations. The existence and the uniqueness of the solution are shown by semigroup methods, so that the whole random process converges weakly to the solution of the system.

Deterministic approximation of a stochastic metapopulation model

2003 ◽  
Vol 35 (3) ◽  
pp. 691-720 ◽  
Author(s):  
Francesca Arrigoni
Keyword(s):  
Differential Equations ◽  
Random Process ◽  
Infinite System ◽  
Convergent Subsequence ◽  
Probability Measures ◽  
Metapopulation Model ◽  
Uniqueness Of The Solution ◽  
Limit Behaviour ◽  
Number Of Individuals ◽  
Structured Metapopulation

We analyse the limit behaviour of a stochastic structured metapopulation model as the number of its patches goes to infinity. The sequence of probability measures associated with the random process, whose components are the proportions of patches with different number of individuals, is tight. The limit of every convergent subsequence satisfies an infinite system of ordinary differential equations. The existence and the uniqueness of the solution are shown by semigroup methods, so that the whole random process converges weakly to the solution of the system.

A spatially structured metapopulation model with patch dynamics

2006 ◽  
Vol 239 (4) ◽  
pp. 469-481 ◽  
Author(s):  
Dashun Xu ◽  
Zhilan Feng ◽  
Linda J.S. Allen ◽  
Robert K. Swihart
Keyword(s):  
Patch Dynamics ◽  
Metapopulation Model ◽  
Structured Metapopulation

Stability in an age-structured metapopulation model

2005 ◽  
Vol 52 (2) ◽  
pp. 183-208 ◽  
Author(s):  
Manuela L. de Castro ◽  
Jacques A.L. Silva ◽  
Dagoberto A.R. Justo
Keyword(s):  
Metapopulation Model ◽  
Age Structured ◽  
Structured Metapopulation

DYNAMICS OF AN AGE-STRUCTURED METAPOPULATION MODEL

2008 ◽  
Vol 18 (4) ◽  
pp. 415-440 ◽  
Author(s):  
ZHILAN FENG ◽  
LIBIN RONG ◽  
ROBERT K. SWIHART
Keyword(s):  
Metapopulation Model ◽  
Age Structured ◽  
Structured Metapopulation
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