Abstract
In this paper, we propose and analyze a mathematical model of mealybugs and green lacewings with time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewings (a natural enemy of mealybugs) when the time delay in the development of green lacewings is taken in to account. Hopf bifurcation theorem and Routh–Hurwitz criteria are utilized so that the conditions on the model parameters which differentiate various dynamic behaviors of the model are obtained. Computer simulations are also carried out to illustrate our theoretical predictions. Chaotic behavior observed in the field data is also investigated numerically.
| Original language | English |
|---|---|
| Article number | 283 |
| Journal | Advances in Difference Equations |
| Volume | 2019 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Dec 2019 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 2 Zero Hunger
Keywords
- Green lacewings
- Hopf-bifurcation
- Mathematical model
- Mealybugs
- Periodic solutions
- Time delay
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