Stability analysis of stochastic Ricker population model
A stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the pap...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/64590 |
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| _version_ | 1832549952650215424 |
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| author | Natali Hritonenko Alexandra Rodkina Yuri Yatsenko |
| author_facet | Natali Hritonenko Alexandra Rodkina Yuri Yatsenko |
| author_sort | Natali Hritonenko |
| collection | DOAJ |
| description | A stochastic generalization of the Ricker discrete population
model is studied under the assumption that noise impacts the
population reproduction rate. The obtained results demonstrate
that the demographic-type stochastic noise increases the risk of
the population extinction. In particular, the paper establishes
conditions on the noise intensity under which the population will
extinct even if the corresponding population with no noise
survives. |
| format | Article |
| id | doaj-art-9bb7eb5d52964bc2a390c5fdcaf5f617 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9bb7eb5d52964bc2a390c5fdcaf5f6172025-02-03T06:08:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/6459064590Stability analysis of stochastic Ricker population modelNatali Hritonenko0Alexandra Rodkina1Yuri Yatsenko2Department of Mathematics, Prairie View A & M University, P.O. Box 4189, Prairie View 77446, TX, USADepartment of Mathematics and Computer Science, University of the West Indies, Mona, Kingston 7, JamaicaCollege of Business and Economics, Houston Baptist University, 7502 Fondren Road, Houston 77074, TX, USAA stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the paper establishes conditions on the noise intensity under which the population will extinct even if the corresponding population with no noise survives.http://dx.doi.org/10.1155/DDNS/2006/64590 |
| spellingShingle | Natali Hritonenko Alexandra Rodkina Yuri Yatsenko Stability analysis of stochastic Ricker population model Discrete Dynamics in Nature and Society |
| title | Stability analysis of stochastic Ricker population model |
| title_full | Stability analysis of stochastic Ricker population model |
| title_fullStr | Stability analysis of stochastic Ricker population model |
| title_full_unstemmed | Stability analysis of stochastic Ricker population model |
| title_short | Stability analysis of stochastic Ricker population model |
| title_sort | stability analysis of stochastic ricker population model |
| url | http://dx.doi.org/10.1155/DDNS/2006/64590 |
| work_keys_str_mv | AT natalihritonenko stabilityanalysisofstochasticrickerpopulationmodel AT alexandrarodkina stabilityanalysisofstochasticrickerpopulationmodel AT yuriyatsenko stabilityanalysisofstochasticrickerpopulationmodel |