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A rigorous population model for the brown planthopper, Nilaparvata lugens Stål (Homoptera: Delphacidae)
Author(s) -
Khor K. E.,
Chua T. H.
Publication year - 1986
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/bf02515540
Subject(s) - delphacidae , brown planthopper , homoptera , biology , planthopper , fecundity , pest analysis , population dynamics , population model , population , ecology , statistics , mathematics , botany , demography , hemiptera , biochemistry , sociology , gene
Summary A rigorous mathematical model is formulated for describing population growth of the brown planthopper ( Nilaparvata lugens Stål , Homoptera), a major rice pest in Asia. The model is based on the assumption that the life history of a population can be approximated by breaking it into constant intervals corresponding to the natural stages of the insect's development. Starting with the balance equation of von Foerster∂ f ( a , t ) ∂ t + ∂ f ( a , t ) ∂ a + ∂ ( a , t ) f ( a , t ) = 0 ,We derived a set of differential equations for the model. The model incorporates density effects on the proportion of macropterous adults and on the nymphal survival rate. The basic biological data used in the model was taken from Japanese sources. The simulation results of the model agree with the main features of Japanese field data. For example, the predicted adult populations for the three generations in a rice crop are 0.16, 1.69 and 3.09 compared to the field data of 0.16, 1.38 and 5.40. Sensitivity experiments have also been carried out to show (i) the effect of the initial immigrant population and (ii) the relative importance of biological vital rates such as fecundity, egg survival rate, nymphal survival rate and adult death rate.