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15736

Mathematical Modeling of Occurrence and Population Density of Predatory Spider and Their Preys on Cotton Plants and Broad Bean in Two Governorates in Egypt

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Last updated: 22 Jan 2023

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Abstract

The research presents a mathematical simulation of three kinds of pests and their predator for two plants: Cotton and broad bean. The study was applied in two regions in Egypt representing Upper Egypt and Delta. The study is based on similar field experimental results during the two successive years 2003-2004, 2004-2005 in Qaha station- Qalubia governorate and seds station–Beni sweif governorate. Four models are introduced according to the plant and the geographical regions. The data were fitted to continuous curves to enable the process of predicting the number of each kind of the involved species. Many functions are suggested to describe the effect of temperature and relative humidity on population. However, for particular plant in particular area, only narrow ranges occur for both temperature and humidity. A process of smoothing the data was necessary to avoid the very extreme points of sudden increase (due to migration or eggs hatching) which can not be taken into account in a mathematical model. After smoothing the data, a least square method was used to fit the points to continuous curves. Then an algorithm has been made aiming to predict the number of the preys and predator at any time by knowing the initial state of each of them. The modeling for anticipating the expected number of spiders and preys for the different months was achieved using a Microsoft Visual Studio program. Four models are constructed and they have been shown to be easy for users. A calibration for the model was examined using a comparison study between field and model results, and a reasonable matching was observed.

DOI

10.21608/eajbsa.2008.15736

Keywords

Mathematical Modeling, Spiders, preys, Temperature, relative humidity

Authors

First Name

Nehad

Last Name

El-Barkey

MiddleName

M.

Affiliation

Entomology Department, Faculty of Science, Benha University

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Orcid

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First Name

Ahmed

Last Name

Kamal

MiddleName

M.

Affiliation

Mathematics Department, Faculty of Science, Ain Shams university

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Volume

1

Article Issue

2

Related Issue

3405

Issue Date

2008-12-01

Receive Date

2018-10-03

Publish Date

2008-12-01

Page Start

71

Page End

84

Print ISSN

1687-8809

Online ISSN

2090-0813

Link

https://eajbsa.journals.ekb.eg/article_15736.html

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https://eajbsa.journals.ekb.eg/service?article_code=15736

Order

7

Type

Original Article

Type Code

667

Publication Type

Journal

Publication Title

Egyptian Academic Journal of Biological Sciences. A, Entomology

Publication Link

https://eajbsa.journals.ekb.eg/

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Article

Created At

22 Jan 2023