A Novel Model for Female Population on the Effects of African Stalk Borer on Saccharumofficinarum L. under the Sterile Insect Technology Interventions

Simple item page
dc.contributor.authorLuvaha, Joel Lutumbi
dc.contributor.authorAkanga, Jotham
dc.contributor.authorChepkwony, Isaac
dc.contributor.authorWali, Augustus
dc.date.accessioned2023-07-25T09:33:00Z
dc.date.available2023-07-25T09:33:00Z
dc.date.issued2023
dc.descriptionarticleen_US
dc.description.abstractSugarcane is an important plant, not only for its economic value but its ecological importance. An infestation of E. Walker Lepidoptera pyralidae, which occurs naturally in wetland habitats and tall grasses, ravages the sugarcane stalk reducing its value. The study proposes a novel model for formulating the dynamics of the E. walker population with SIT. A mathematical analysis of the proposed governing equations representing the model has unique and positive solutions. A basic reproduction number computed based n wild free equilibrium(WFE) points was found to beR0 Ç 1 indicating an eminent wipeout of the wild E. walker population under SIT. The local stability of the WFE indicated that the establishedR0 was locally asymptotically stable andR0 Ç 1. The global stability showed that WFE is globally asymptotically stable when R0 Ç 1. The numerical simulation revealed that the wild E. walker population under Sterile Insect Technology (SIT) will be wiped out after more than 120 weeks, which is unrealistic, considering that the sugarcane matures after approximately 78 weeks. Elasticity analysis of the model parameters based on R0 indicated that a possible control lies in controlling the eggs laid and sex ratio. The effectiveness of the control is indicated in the numerical simulation that showed that the population of the wild E. walker is wiped out after approximately 130 weeks. Future studies into the area need to refocus on the timelines to investigate other strategies to reduce the wild E. walker population below the sugarcane maturity stage.en_US
dc.identifier.citationLuvaha, J. L., Akanga, J., Chepkwony, I., & Wali, A. N. (2023). A novel model for female population on the effects of African Stalk Borer on Saccharum officinarum L. under the sterile Insect Technology Interventions.en_US
dc.identifier.issn2347-2529
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/26391
dc.language.isoenen_US
dc.publisherIJAAMMen_US
dc.subjectE.Walkeren_US
dc.subjectSterile Insect Technologyen_US
dc.subjectWild Free Equilibriumen_US
dc.titleA Novel Model for Female Population on the Effects of African Stalk Borer on Saccharumofficinarum L. under the Sterile Insect Technology Interventionsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
A novel model for female population on the effects of African Stalk.pdf
Size:
339.58 KB
Format:
Adobe Portable Document Format
Description:
Full text Article
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
RP-Department of Mathematics