dorsal/arxiv
View SchemaHarvesting in a resource dependent age structured Leslie type population model
| Authors | Rui Dilao, Tiago Domingos, Elman M. Shahverdiev |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0502042 |
| URL | https://arxiv.org/abs/q-bio/0502042 |
| Journal | Math. Biosciences vol. 189 (2004) 141-151 |
Abstract
We analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fertility coefficients, harvesting mortality and carrying capacity of the resources. Under the effect of proportional harvest, we give a sufficient condition for a population to extinguish, and we show that the magnitude of proportional harvest depends on the resources available to the population. We show that the harvesting yield can be periodic, quasi-periodic or chaotic, depending on the dynamics of the harvested population. For populations with large fertility numbers, small harvesting mortality leads to abrupt extinction, but larger harvesting mortality leads to controlled population numbers by avoiding over consumption of resources. Harvesting can be a strategy in order to stabilise periodic or quasi-periodic oscillations in the number of individuals of a population.
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"abstract": "We analyse the effect of harvesting in a resource dependent age structured\npopulation model, deriving the conditions for the existence of a stable steady\nstate as a function of fertility coefficients, harvesting mortality and\ncarrying capacity of the resources. Under the effect of proportional harvest,\nwe give a sufficient condition for a population to extinguish, and we show that\nthe magnitude of proportional harvest depends on the resources available to the\npopulation. We show that the harvesting yield can be periodic, quasi-periodic\nor chaotic, depending on the dynamics of the harvested population. For\npopulations with large fertility numbers, small harvesting mortality leads to\nabrupt extinction, but larger harvesting mortality leads to controlled\npopulation numbers by avoiding over consumption of resources. Harvesting can be\na strategy in order to stabilise periodic or quasi-periodic oscillations in the\nnumber of individuals of a population.",
"arxiv_id": "q-bio/0502042",
"authors": [
"Rui Dilao",
"Tiago Domingos",
"Elman M. Shahverdiev"
],
"categories": [
"q-bio.PE"
],
"journal_ref": "Math. Biosciences vol. 189 (2004) 141-151",
"title": "Harvesting in a resource dependent age structured Leslie type population model",
"url": "https://arxiv.org/abs/q-bio/0502042"
},
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