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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |