Discretizations of a perturbed logistic equation
The logistic equation has been used to model a population where the intrinsic rate of growth is a linearly decreasing function of the population density. We propose some models arising from discretizations of perturbed logistic equation where external factors such as harvesting and migration are in...
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Hindawi Limited
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022600000121 |
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doaj-a9260ed3b07e4a608740c3b81aa4976a2020-11-24T21:03:48ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014212513110.1155/S1026022600000121Discretizations of a perturbed logistic equationMiguel Angel Moreles0francisco Solis1Department of Mathematics, CIMAT, Apartado Postal 402, Guanajuato 36000, Gto., MexicoDepartment of Mathematics, CIMAT, Apartado Postal 402, Guanajuato 36000, Gto., MexicoThe logistic equation has been used to model a population where the intrinsic rate of growth is a linearly decreasing function of the population density. We propose some models arising from discretizations of perturbed logistic equation where external factors such as harvesting and migration are included. The different discretizations exhibit diverse dynamic asymptotic behavior when dependence on two control parameters are allowed. We also give an alternative method to provide with new models that produce better approximating solutions.http://dx.doi.org/10.1155/S1026022600000121Logistic equationPopulation dynamics. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Miguel Angel Moreles francisco Solis |
| spellingShingle |
Miguel Angel Moreles francisco Solis Discretizations of a perturbed logistic equation Discrete Dynamics in Nature and Society Logistic equation Population dynamics. |
| author_facet |
Miguel Angel Moreles francisco Solis |
| author_sort |
Miguel Angel Moreles |
| title |
Discretizations of a perturbed logistic equation |
| title_short |
Discretizations of a perturbed logistic equation |
| title_full |
Discretizations of a perturbed logistic equation |
| title_fullStr |
Discretizations of a perturbed logistic equation |
| title_full_unstemmed |
Discretizations of a perturbed logistic equation |
| title_sort |
discretizations of a perturbed logistic equation |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2000-01-01 |
| description |
The logistic equation has been used to model a population where the intrinsic rate of growth is a linearly decreasing function of the population density. We propose some models arising from discretizations of perturbed logistic equation where external factors such as harvesting
and migration are included. The different discretizations exhibit diverse dynamic asymptotic behavior when dependence on two control parameters are allowed. We also give an alternative method to provide with new models that produce better approximating solutions. |
| topic |
Logistic equation Population dynamics. |
| url |
http://dx.doi.org/10.1155/S1026022600000121 |
| work_keys_str_mv |
AT miguelangelmoreles discretizationsofaperturbedlogisticequation AT franciscosolis discretizationsofaperturbedlogisticequation |
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1716772936626470912 |