Effects of environmental fluctuation and time delay on ratio dependent hyperparasitism model

A. Elsonbaty; A. Elsaid; H. M. Nour

doi:10.1016/j.cnsns.2010.09.006

Effects of environmental fluctuation and time delay on ratio dependent hyperparasitism model

A. Elsonbaty, A. Elsaid, H. M. Nour

Mansoura University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A model of host-parasitoid-hyperparasitoid is considered with ratio dependence between parasitoid and hyperparasitoid. First, the conditions for local stability and increasing host fitness due to the effect of hyperparasitism are deduced. Next, we study the effects of stochastic environmental fluctuations and discrete time delay on the system behavior and calculate the corresponding populations variances. Numerical simulations illustrate that populations densities oscillate randomly around equilibrium points. Also, in contrast to previous literature, the simulations carried out here indicate that populations variances oscillate with the increase of time delay.

Original language	English
Pages (from-to)	2609-2619
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	16
Issue number	6
DOIs	https://doi.org/10.1016/j.cnsns.2010.09.006
State	Published - Jun 2011
Externally published	Yes

Keywords

Environmental fluctuation
Hyperparasitism
Ratio dependent
Time delay

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10.1016/j.cnsns.2010.09.006

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abstract = "A model of host-parasitoid-hyperparasitoid is considered with ratio dependence between parasitoid and hyperparasitoid. First, the conditions for local stability and increasing host fitness due to the effect of hyperparasitism are deduced. Next, we study the effects of stochastic environmental fluctuations and discrete time delay on the system behavior and calculate the corresponding populations variances. Numerical simulations illustrate that populations densities oscillate randomly around equilibrium points. Also, in contrast to previous literature, the simulations carried out here indicate that populations variances oscillate with the increase of time delay.",

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AU - Elsonbaty, A.

AU - Elsaid, A.

AU - Nour, H. M.

PY - 2011/6

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N2 - A model of host-parasitoid-hyperparasitoid is considered with ratio dependence between parasitoid and hyperparasitoid. First, the conditions for local stability and increasing host fitness due to the effect of hyperparasitism are deduced. Next, we study the effects of stochastic environmental fluctuations and discrete time delay on the system behavior and calculate the corresponding populations variances. Numerical simulations illustrate that populations densities oscillate randomly around equilibrium points. Also, in contrast to previous literature, the simulations carried out here indicate that populations variances oscillate with the increase of time delay.

AB - A model of host-parasitoid-hyperparasitoid is considered with ratio dependence between parasitoid and hyperparasitoid. First, the conditions for local stability and increasing host fitness due to the effect of hyperparasitism are deduced. Next, we study the effects of stochastic environmental fluctuations and discrete time delay on the system behavior and calculate the corresponding populations variances. Numerical simulations illustrate that populations densities oscillate randomly around equilibrium points. Also, in contrast to previous literature, the simulations carried out here indicate that populations variances oscillate with the increase of time delay.

KW - Environmental fluctuation

KW - Hyperparasitism

KW - Ratio dependent

KW - Time delay

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DO - 10.1016/j.cnsns.2010.09.006

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VL - 16

SP - 2609

EP - 2619

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 6

ER -

Effects of environmental fluctuation and time delay on ratio dependent hyperparasitism model

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Keywords

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