Dynamics of Leslie-Gower Pest-Predator Model with Disease in Pest Including Pest-Harvesting and Optimal Implementation of Pesticide
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We propose a model which describes the interaction between pest and its natural predator.
We assume that pest can be infected with diseases or pathogens such as bacteria, fungi, and viruses.
The model is constructed by combining the Leslie-Gower model and S-I epidemic model.
It is also considered the effects of pest harvesting.
Harvesting in this case is intended to take a number of pests as one of the pest population control strategies.
The proposed model will be analyzed dynamically to study its qualitative behaviour.
The dynamical analysis includes the determination of all possible equilibrium points and their stability properties.
Furthermore we also discuss the implementation of pesticide control where its optimal strategy is determined by Pontryagin’s maximum principle.
To support our analytical studies, we perform some numerical simulations and their interpretation.
American Psychological Association (APA)
Suryanto, Agus& Darti, Isnani. 2019. Dynamics of Leslie-Gower Pest-Predator Model with Disease in Pest Including Pest-Harvesting and Optimal Implementation of Pesticide. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1166363
Modern Language Association (MLA)
Suryanto, Agus& Darti, Isnani. Dynamics of Leslie-Gower Pest-Predator Model with Disease in Pest Including Pest-Harvesting and Optimal Implementation of Pesticide. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1166363
American Medical Association (AMA)
Suryanto, Agus& Darti, Isnani. Dynamics of Leslie-Gower Pest-Predator Model with Disease in Pest Including Pest-Harvesting and Optimal Implementation of Pesticide. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1166363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166363