ICAR Research Data Repository for Knowledge Management
A population growth model with varying growth rates
KrishiKosh
View Archive Info| Field | Value | |
| Title |
A population growth model with varying growth rates
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| Creator |
Jatinder Kumar
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| Contributor |
Gupta, S.C.
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| Subject |
Population growth model, Growth, Stability, extinction
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| Description |
The model of Lewis and Leslie (1945, 1948) has been extensively used for the study of population growth in various fields. However, complex growth structures require the use of more general models. The model of Kapur (1979) allows harvesting in the system is an initial step to move in this direction. But the need is being felt to develop more general models considering the effect of variable growth rates along with harvesting on the reproductive structure of living organisms. In the present work, and age-dependent population growth model is proposed where birth, death and harvest rates are the functions of three population groups viz. pre-reproductive, more-reproductive and less-reproductive. The population structure with varying growth rate has been obtained. The condition for growth, extinction and stability for age-dependent cattle population has been found. Further the model has been illustrated by taking twelve year data on cattle growth. A harvest policy to ensure the stable population structure is also given. The population projections of cattle have been illustrated with tables and graphs. |
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| Date |
2016-11-28T11:34:26Z
2016-11-28T11:34:26Z 2006 |
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| Type |
Thesis
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| Identifier |
http://krishikosh.egranth.ac.in/handle/1/87802
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| Language |
en
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| Format |
application/pdf
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| Publisher |
CCSHAU
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