2019
DOI: 10.1186/s13662-019-2226-x
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A delay differential equation model of mealybugs and green lacewings

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. Comp… Show more

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Cited by 2 publications
(3 citation statements)
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“…The arthropod pests that are molecularly identi ed in this study, Aleurodicus disperses, Bemisia tabaci, Ferrisia virgata, Maconellicoccus hirsutus, Paracoccus marginatus, Parasaissetia nigra, and Pseudaulacaspis pentagona are species known to be economically important pests of cassava, causing signi cant damage to the crop by feeding on its tissues and transmitting viral diseases. Mealybugs are a leading cassava pest, causing global economic damage to the crop (Jankaew et al, 2019;Rauwane et al, 2018). Ferrisia virgata, M. hirsutus, Pa. marginatus are problematic to differentiate; hence, DNA barcoding of these species is still essential to correctly identify the pests in the eld.…”
Section: Discussionmentioning
confidence: 99%
“…The arthropod pests that are molecularly identi ed in this study, Aleurodicus disperses, Bemisia tabaci, Ferrisia virgata, Maconellicoccus hirsutus, Paracoccus marginatus, Parasaissetia nigra, and Pseudaulacaspis pentagona are species known to be economically important pests of cassava, causing signi cant damage to the crop by feeding on its tissues and transmitting viral diseases. Mealybugs are a leading cassava pest, causing global economic damage to the crop (Jankaew et al, 2019;Rauwane et al, 2018). Ferrisia virgata, M. hirsutus, Pa. marginatus are problematic to differentiate; hence, DNA barcoding of these species is still essential to correctly identify the pests in the eld.…”
Section: Discussionmentioning
confidence: 99%
“…In order to reduce CM populations in Thailand, green lacewings were introduced as their larvae can destroy over 100 mealybugs in a week by sucking fluids from their soft bodies. (Jankaew et al 2019). To study lacewings effect on CM population numbers Promrak et al (2016) developed a predator-prey model where lacewings were released continuously and periodically finding that if enough CM enemies are introduced, good control is achieved, whether lacewings are released continuously or periodically.…”
Section: Biocontrolmentioning
confidence: 99%
“…Considering a mathematical model of delayed differential equations, (Jankaew et al 2019 ) simulated the population dynamics of CM and green lacewings showing that the time delay in the reproduction of green lacewing larvae played an important role in controlling the mealybugs population. Thus, if the time delay is correct, the reproduction rate of lacewings can control the population of CM to acceptable levels but if the delay is larger than a found critical value the CM population oscillates within a given range and can also exhibit a chaotic behaviour.…”
Section: Modelling Approaches For the Surveillance Detection And Cont...mentioning
confidence: 99%