dorsal/arxiv
View SchemaA "Quasi-Rapid" Extinction Population Dynamics and Mammoths Overkill
| Authors | Vladan Pankovic, Rade Glavatovic, Nikola Vunduk, Dejan Banjac, Nemanja Marjanovic, Milan Predojevic |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0607033 |
| URL | https://arxiv.org/abs/q-bio/0607033 |
Abstract
In this work we suggest and consider an original, simple mathematical model of a "quasi-rapid" extinction population dynamics. It describes a decrease and final extinction of the population of one prey species by a "quasi-rapid" interaction with one predator species with increasing population. This "quasi-rapid" interaction means ecologically that prey species behaves practically quite passively (since there is no time for any reaction, i.e. defense), like an appropriate environment, in respect to "quasi-rapid" activity of the predator species that can have different "quasi-rapid" hunting abilities. Mathematically, our model is based on a non-Lotka-Volterraian system of two differential equations of the first order, first of which is linear while second, depending of a parameter that characterizes hunting ability is nonlinear. We compare suggested "quasi-rapid" extinction population dynamics and the global model of the overkill of the prehistoric megafauna (mammoths). We demonstrate that our "quasi-rapid" extinction population dynamics is able to restitute successfully correlations between empirical (archeological) data and overkill theory in North America as well as Australia. For this reason, we conclude that global overkill theory, completely mathematically modelable by "quasi-rapid" extinction population dynamics can consistently explain the Pleistocene extinctions of the megafauna.
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"abstract": "In this work we suggest and consider an original, simple mathematical model\nof a \"quasi-rapid\" extinction population dynamics. It describes a decrease and\nfinal extinction of the population of one prey species by a \"quasi-rapid\"\ninteraction with one predator species with increasing population. This\n\"quasi-rapid\" interaction means ecologically that prey species behaves\npractically quite passively (since there is no time for any reaction, i.e.\ndefense), like an appropriate environment, in respect to \"quasi-rapid\" activity\nof the predator species that can have different \"quasi-rapid\" hunting\nabilities. Mathematically, our model is based on a non-Lotka-Volterraian system\nof two differential equations of the first order, first of which is linear\nwhile second, depending of a parameter that characterizes hunting ability is\nnonlinear. We compare suggested \"quasi-rapid\" extinction population dynamics\nand the global model of the overkill of the prehistoric megafauna (mammoths).\nWe demonstrate that our \"quasi-rapid\" extinction population dynamics is able to\nrestitute successfully correlations between empirical (archeological) data and\noverkill theory in North America as well as Australia. For this reason, we\nconclude that global overkill theory, completely mathematically modelable by\n\"quasi-rapid\" extinction population dynamics can consistently explain the\nPleistocene extinctions of the megafauna.",
"arxiv_id": "q-bio/0607033",
"authors": [
"Vladan Pankovic",
"Rade Glavatovic",
"Nikola Vunduk",
"Dejan Banjac",
"Nemanja Marjanovic",
"Milan Predojevic"
],
"categories": [
"q-bio.PE",
"q-bio.QM"
],
"title": "A \"Quasi-Rapid\" Extinction Population Dynamics and Mammoths Overkill",
"url": "https://arxiv.org/abs/q-bio/0607033"
},
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