Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils
In the current study, probit and logistic models were employed to fit experimental mortality data of the Khapra beetle, Trogoderma granarium (Everts) (Coleoptera: Dermestidae), when fumigated with three plant oils of the gens Achillea. A generalized inverse matrix technique was used to estimate the...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2015-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.687 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590144056590336 |
|---|---|
| author | Alhadi E. Alamir Gomah E. Nenaah Mohamed A. Hafiz |
| author_facet | Alhadi E. Alamir Gomah E. Nenaah Mohamed A. Hafiz |
| author_sort | Alhadi E. Alamir |
| collection | DOAJ |
| description | In the current study, probit and logistic models were employed to fit experimental mortality data of the Khapra beetle, Trogoderma granarium (Everts) (Coleoptera: Dermestidae), when fumigated with three plant oils of the gens Achillea. A generalized inverse matrix technique was used to estimate the mortality model parameters instead of the usual statistical iterative maximum likelihood estimation. As this technique needs to perturb the observed mortality proportions if the proportions include 0 or 1, the optimal perturbation in terms of minimum least squares ($L_2$) error was also determined. According to our results, it was better to log-transform concentration and time as explanatory variables in modeling mortality of the test insect. Estimated data using the probit model were more accurate in terms of $L_2$ errors, than the logistic one. Results of the predicted mortality revealed also that extending the fumigation period could be an effective control strategy, even, at lower concentrations. Results could help in using a relatively safe and effective strategy for the control of this serious pest using alternative control strategy to reduce the health and environmental drawbacks resulted from the excessive reliance on the broadly toxic chemical pesticides and in order to contribute safeguard world-wide grain supplies. |
| format | Article |
| id | doaj-art-ba5dcc036857489aae795660a8c4cd2d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ba5dcc036857489aae795660a8c4cd2d2025-01-24T02:32:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-03-0112468769710.3934/mbe.2015.12.687Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oilsAlhadi E. Alamir0Gomah E. Nenaah1Mohamed A. Hafiz2Department of Mathematics, Najran University, Najran,1988Zoology Department, Faculty of Science, Kafrelsheikh University, Kafr El sheikh3516Zoology Department, Faculty of Science, Kafrelsheikh University, Kafr El sheikh3516In the current study, probit and logistic models were employed to fit experimental mortality data of the Khapra beetle, Trogoderma granarium (Everts) (Coleoptera: Dermestidae), when fumigated with three plant oils of the gens Achillea. A generalized inverse matrix technique was used to estimate the mortality model parameters instead of the usual statistical iterative maximum likelihood estimation. As this technique needs to perturb the observed mortality proportions if the proportions include 0 or 1, the optimal perturbation in terms of minimum least squares ($L_2$) error was also determined. According to our results, it was better to log-transform concentration and time as explanatory variables in modeling mortality of the test insect. Estimated data using the probit model were more accurate in terms of $L_2$ errors, than the logistic one. Results of the predicted mortality revealed also that extending the fumigation period could be an effective control strategy, even, at lower concentrations. Results could help in using a relatively safe and effective strategy for the control of this serious pest using alternative control strategy to reduce the health and environmental drawbacks resulted from the excessive reliance on the broadly toxic chemical pesticides and in order to contribute safeguard world-wide grain supplies.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.687probit modelmortality.plant oilskhapra beetlelogistic model |
| spellingShingle | Alhadi E. Alamir Gomah E. Nenaah Mohamed A. Hafiz Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils Mathematical Biosciences and Engineering probit model mortality. plant oils khapra beetle logistic model |
| title | Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils |
| title_full | Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils |
| title_fullStr | Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils |
| title_full_unstemmed | Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils |
| title_short | Mathematical probit and logistic mortality models of the Khapra beetle fumigated with plant essential oils |
| title_sort | mathematical probit and logistic mortality models of the khapra beetle fumigated with plant essential oils |
| topic | probit model mortality. plant oils khapra beetle logistic model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.687 |
| work_keys_str_mv | AT alhadiealamir mathematicalprobitandlogisticmortalitymodelsofthekhaprabeetlefumigatedwithplantessentialoils AT gomahenenaah mathematicalprobitandlogisticmortalitymodelsofthekhaprabeetlefumigatedwithplantessentialoils AT mohamedahafiz mathematicalprobitandlogisticmortalitymodelsofthekhaprabeetlefumigatedwithplantessentialoils |