Dynamics of a Discrete Host-Parasitoid System with Stocking
Motivated by the biological control of pests, we present discrete-time models of host-parasitoid interactions to study the effects of external stocking upon the systems. It is assumed that density dependence of the hosts occurs first followed by parasitism. We prove that the constant stocking can e...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/905957 |
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doaj-57da5fba68d441c2b97025dc66c4f7682020-11-24T23:37:33ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/905957905957Dynamics of a Discrete Host-Parasitoid System with StockingSophia R.-J. Jang0Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USAMotivated by the biological control of pests, we present discrete-time models of host-parasitoid interactions to study the effects of external stocking upon the systems. It is assumed that density dependence of the hosts occurs first followed by parasitism. We prove that the constant stocking can eliminate the pest population if the stocking is sufficiently large. Furthermore, stocking can simplify the dynamics of the interaction by stabilizing the coexisting steady state.http://dx.doi.org/10.1155/2015/905957 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sophia R.-J. Jang |
| spellingShingle |
Sophia R.-J. Jang Dynamics of a Discrete Host-Parasitoid System with Stocking Discrete Dynamics in Nature and Society |
| author_facet |
Sophia R.-J. Jang |
| author_sort |
Sophia R.-J. Jang |
| title |
Dynamics of a Discrete Host-Parasitoid System with Stocking |
| title_short |
Dynamics of a Discrete Host-Parasitoid System with Stocking |
| title_full |
Dynamics of a Discrete Host-Parasitoid System with Stocking |
| title_fullStr |
Dynamics of a Discrete Host-Parasitoid System with Stocking |
| title_full_unstemmed |
Dynamics of a Discrete Host-Parasitoid System with Stocking |
| title_sort |
dynamics of a discrete host-parasitoid system with stocking |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2015-01-01 |
| description |
Motivated by the biological control of
pests, we present discrete-time models of host-parasitoid
interactions to study the effects of external stocking upon the
systems. It is assumed that density dependence of the hosts occurs
first followed by parasitism. We prove that the constant stocking
can eliminate the pest population if the stocking is sufficiently
large. Furthermore, stocking can simplify the dynamics of the
interaction by stabilizing the coexisting steady state. |
| url |
http://dx.doi.org/10.1155/2015/905957 |
| work_keys_str_mv |
AT sophiarjjang dynamicsofadiscretehostparasitoidsystemwithstocking |
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1725519610560643072 |