Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth
Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3535375 |
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| _version_ | 1832554761866444800 |
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| author | Tin Nwe Aye Linus Carlsson |
| author_facet | Tin Nwe Aye Linus Carlsson |
| author_sort | Tin Nwe Aye |
| collection | DOAJ |
| description | Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment. |
| format | Article |
| id | doaj-art-9549fab079a0462a81a9506290535343 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9549fab079a0462a81a95062905353432025-02-03T05:50:39ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/3535375Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource GrowthTin Nwe Aye0Linus Carlsson1Division of Applied MathematicsDivision of Applied MathematicsModelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment.http://dx.doi.org/10.1155/2022/3535375 |
| spellingShingle | Tin Nwe Aye Linus Carlsson Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth Journal of Applied Mathematics |
| title | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
| title_full | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
| title_fullStr | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
| title_full_unstemmed | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
| title_short | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
| title_sort | properties in stage structured population models with deterministic and stochastic resource growth |
| url | http://dx.doi.org/10.1155/2022/3535375 |
| work_keys_str_mv | AT tinnweaye propertiesinstagestructuredpopulationmodelswithdeterministicandstochasticresourcegrowth AT linuscarlsson propertiesinstagestructuredpopulationmodelswithdeterministicandstochasticresourcegrowth |