Agrawal A A, Underwood N, Stinchcombe J R. 2004. Intraspecific variation in the strength of density dependence in aphid populations. Ecological Entomology, 29, 521–526.

Alexandrov V A, Hoogenboom G. 2000. The impact of climate variability and change on crop yield in Bulgaria. Agricultural and Forest Meteorology, 104, 315–327.

Aoki S, Imai M. 2005. Factors affecting the proportion of sterile soldiers in growing aphid colonies. Population Ecology, 47, 127–136.

Aoki S, Kurosu U. 2003. Logistic model for soldier production in aphids. Insectes Sociaux, 50, 256–261.

Bahlai C A, Sears M K. 2009. Population dynamics of Harmonia axyridis and Aphis glycines in Niagara Peninsula soybean fields and vineyards. Journal of the Entomological Society of Ontario, 140, 27–39.

Beckendorf E A, Catangui M A, Riedell W E. 2008. Soybean aphid feeding injury and soybean yield, yield components, and seed composition. Agronomy Journal, 100, 237–246.

Van den Berg H, Ankasah D, Muhammad A, Rusli R, Widayanto H A, Wirasto H B, Yully I. 1997. Evaluating the role of predation in population fluctuations of the soybean aphid Aphis glycines in farmer’s fields in Indonesia. Journal of Applied Ecology, 34, 971–984.

Blackman R L, Eastop V F. 2000. Aphids on the World’s Crops: An Identification and Information Guide. 2nd ed., Wiley, Chichester, UK. p. 104.

Brand R J, Pinnock D E, Jackson K L. 1973. Large sample confidence bands for the logistic response curve and its inverse. The American Statistician, 27, 157–160.

Brosius T R, Higley L G, Hunt T E. 2007. Population dynamics of soybean aphid and biotic mortality at the edge of its range. Journal of Economic Entomology, 100, 1268–1275.

Catangui M A, Beckendorf E A, Riedell W E. 2009. Soybean aphid population dynamics, soybean yield loss, and development of stage-specific economic injury levels. Agronomy Journal, 101, 1080–1092.

Chen C, Feng M G. 2005. Epizootiological modeling of Pandora neoaphidis mycosis transmission in Myzus persicae colonies initiated by primarily infected alates. Applied and Environmental Microbiology, 71, 4104–4107.

Chen C, Feng M G. 2006. Experimental simulation of transmission of an obligate aphid pathogen with aphid flight dispersal. Environmental Microbiology, 8, 69–76.

Chen Y G, Zhou Y X. 2005. Logistic process of urbanization falls into four successive phases: revising Northam’s curve with new spatial interpretation. Economic Geography, 25, 817–822. (in Chinese)

Costamagna A C, Van der Werf W, Bianchi F J J A, Landis D A. 2007. An exponential growth model with decreasing r captures bottom-up effects on the population growth of Aphis glycines Matsumura (Hemiptera: Aphididae). Agricultural and Forest Entomology, 9, 297–305.

Cui Y Y, Wang C J. 2000. A mathematical model of seasonal creature population. Journal of Liaoning Teachers University, 23, 83–85. (in Chinese)

Dixon A F G. 1998. Aphid Ecology. 2nd ed. Chapman & Hall, New York, USA.

Duan A G, Zhang J G, Zhang X Q, He C Y. 2015. Relationship between modelling accuracy and inflection point attributes of several equations while modelling stand diameter distributions. PLoS ONE, 10, e0126831.

Fehr W R, Caviness C E, Burmood D T, Pennington J S. 1971. Stage of development descriptions for soybeans, Glycine max (L.) Merrill. Crop Science, 11, 929–931.

Fox T B, Landis D A, Cardoso F F, Difonzo C D. 2004. Predators suppress Aphis glycines Matsumura population growth in soybean. Environmental Entomology, 33, 608–618.

Fulda J S. 1981. The logistic equation and population decline. Journal of Theoretical Biology, 91, 255–259.

Haddon M, Mundy C, Tarbath D. 2008. Using an inverse-logistic model to describe growth increments of blacklip abalone (Haliotis rubra) in Tasmania. Fishery Bulletin, 106, 58–71.

Hallett R H, Bahlai C A, Xue Y, Schaafsma A W. 2014. Incorporating natural enemy units into a dynamic action threshold for the soybean aphid, Aphis glycines (Homoptera: Aphididae). Pest Management Science, 70, 879–888.

Helidoniotis F, Haddon M, Tuck G, Tarbath D. 2011. The relative suitability of the von Bertalanffy, Gompertz and inverse logistic models for describing growth in blacklip abalone populations (Haliotis rubra) in Tasmania, Australia. Fisheries Research, 112, 13–21.

Hodgson E W, Venette R C, Abrahamson M, Ragsdale D W. 2005. Alate production of soybean aphid (Homoptera: Aphididae) in Minnesota. Environmental Entomology, 34, 1456–1463.

Hu Q, Zhang W Q, Yao Y X, Yan S Q. 1992. Relationship between nitrogen content in soybean leaves and occurrence of Aphis glycines. Journal of Jilin Agricultural University, 14, 103–104. (in Chinese)

Johnson K D, O’Neal M E, Ragsdale D W, Difonzo C D, Swinton S M, Dixon P M, Potter B D, Hodgson E W, Costamagna A C. 2009. Probability of cost-effective management of soybean aphid (Hemiptera: Aphididae) in North America. Journal of Economic Entomology, 102, 2101–2108.

Ju R H, Shen Z R. 2005. Review on insect population dynamics simulation models. Acta Ecologica Sinica, 25, 2709–2716. (in Chinese)

Leblanc A, Brodeur J. 2018. Estimating parasitoid impact on aphid populations in the field. Biological Control, 119, 33–42.

Leslie P H. 1945. On the use of matrix incertain population mathematics. Biometrika, 33, 183–212.

Li J, Wang M Y, Wang Y, Zhang M, Yao N M. 2017. Fitting model of Jilin quinoa growth model based on meteorological factors. Journal of Jilin Agricultural University, 39, 743–747. (in Chinese)

Li X J, Zheng G, Wang S X, Xing X, Li Y, Yu G W, You G L. 2011. The population dynamics and control effect of important natural enemies of the soybean aphid, Aphis glycines. Chinese Journal of Applied Entomology, 48, 1613–1624. (in Chinese)

Lin L, Ives A. 2003. The effect of parasitoid host-size preference on host population growth rates: An example of Aphidius colemani and Aphis glycines. Ecological Entomology, 28, 542–550.

Macedo T B, Bastos C S, Higley L G, Ostlie K R, Madhavan S. 2003. Photosynthetic responses of soybean to soybean aphid (Homoptera: Aphididae) injury. Journal of Economic Entomology, 96, 188–193.

Martínez A F R, Costamagna A C. 2018. Effects of crowding and host plant quality on morph determination in the soybean aphid, Aphis glycines. Entomologia Experimentalis et Applicata, 166, 53–62.

McCornack B P, Costamagna A C, Ragsdale D W. 2008. Within-plant distribution of soybean aphid (Hemiptera: Aphididae) and development of node-based sample units for estimating whole-plant densities in soybean. Journal of Economic Entomology, 101, 1448–1500.

McCornack B P, Ragsdale D W, Venette R C. 2004. Demography of soybean aphid (Homoptera: Aphididae) at summer temperatures. Journal of Economic Entomology, 97, 857–861.

Mendes B R, Calegario N, Volpato C E S, Mello A A D. 2006. Development of individual tree growth models based on differential equations. Cerne, 12, 254–263.

Miksanek J R, Heimpel G E. 2019. A matrix model describing host-parasitoid population dynamics: The case of Aphelinus certus and soybean aphid. PLoS ONE, 14, e0218217.

Osborne S L, Riedell W E. 2006. Starter nitrogen fertilizer impact on soybean yield and quality in the northern Great Plains. Agronomy Journal, 98, 1569–1574.

Pang X F, Lu Y L, Wang Y A. 1980. On the use of population matrix models for the studies of insect ecology. Journal of South China Agricultural College, 1, 27–37. (in Chinese)

Panković V, Krmar M, Glavatović R. 2009. (ANTI)PETER principle-discrete (INVERSE) logistic equation with imprecisely estimated and stimulated carrying capacity. [2016-05-10]. https://doi.org/10.48550/arXiv.0907.5320

Ragsdale D W. 2001. Aphid Alert: Status of Soybean Aphid. In: Radcliffe E B, ed., University of Minnesota Press, Twin Cities, USA.

Ragsdale D W, Voegtlin D J, O’Neil R J. 2004. Soybean aphid biology in North America. Annals of the Entomological Society of America, 97, 204–208.

Rauwald K S, Ives A R. 2001. Biological control in disturbed agricultural systems and the rapid re-establishment of parasitoids. Ecological Applications, 11, 1224–1234.

Rhainds M, Yoo H J, Steffey K L, Voegtlin D J, Sadof C S, Yaninek S, O’Neil R J. 2010. Potential of suction traps as a monitoring tool for Aphis glycines (Hemiptera: Aphididae) in soybean fields. Journal of Economic Entomology, 103, 186–189.

Riedell W E, Lundgren J G, Osborne S L, Pikul J L. 2005. Effects of soil nitrogen management on soybean nitrogen relations and bean leaf beetle (Coleoptera: Chrysomelidae) biology. Journal of Agricultural and Urban Entomology, 22, 181–190.

Semenzato P, Cattaneo D, Dainese M. 2011. Growth prediction for five tree species in an Italian urban forest. Urban Forestry & Urban Greening, 10, 169–176.

Shang S H, Mao X M, Lei Z D, Zhou K, Zhong Y G, Ai N W. 1999. Inverse-logistic formula for calculation of phreatic evaporation coefficient. Journal of Irrigation and Drainage, 18, 18–21. (in Chinese)

Tang Q S. 1996. On the carrying capacity and its study. Marine Fisheries Research, 17, 1–6. (in Chinese)

Tsoularis A. 2001. Analysis of logistic growth models. Research Letters of Information and Mathematics Science, 2, 23–46.

Vandermeer J H. 1975. On the construction of the population projection matrix for a population grouped in unequal stages. Biomatrics, 31, 239–242.

Venette R C, Ragsdale D W. 2004. Assessing the invasion by soybean aphid (Homoptera: Aphididae): Where will it end? Annals of the Entomological Society of America, 97, 219–226.

Verhulst P F. 1838. Notice sur la loi que la population suit dans son accroissement. Correspondence Mathematique et Physique Publiee (Par A), 10, 113–121. (in French)

Walter A J, Difonzo C D. 2007. Soil potassium deficiency affects soybean phloem nitrogen and soybean aphid populations. Environmental Entomology, 36, 26–33.

Wang C L, Xiang L Y, Zhang G X, Zhu H F. 1962. Studies on the soybean aphid, Aphis glycines Matsumura. Acta Entomologica Sinica, 11, 31–44. (in Chinese)

Wang D B, Zhang G L. 2005. Meteorological factors-based corn grow simulation model research. Journal of Maize Sciences, 13, 119–122. (in Chinese)

Wang F, Yamamoto H, Ibaraki Y. 2008. Measuring leaf necrosis and chlorosis of bamboo induced by typhoon 0613 with RGB image analysis. Journal of Forestry Research, 19, 225–230.

Wang X Y, Zhou L H, Xu B, Xing X, Xu G Q. 2014. Seasonal occurrence of Aphis glycines and physiological responses of soybean plants to its feeding. Insect Science, 21, 342–351.

Watt M, Hales D F. 1996. Dwarf phenotype of the cotton aphid, Aphis gossypii Glover (Hemiptera: Aphididae). Australian Journal of Entomology, 35, 153–159.

Wu T L, Ma X H, Yao L M, Wang B. 2009. Identification of soybean resources of resistance to aphids. Agricultural Sciences in China, 8, 979–984.

Wu Z S, Schenk-Hamlin D, Zhan W Y, Ragsdale D W, Heimpel G E. 2004. The soybean aphid in China: A historical review. Annals of the Entomological Society of America, 97, 209–218.

Xu L, Zhao T H, Xing X, Xu G Q. 2022. Comparing the cost-benefit probability of management based on early-stage and late-stage economic thresholds with that of seed treatment of Aphis glycines. Pest Management Science, 78, 4048–4060.

Xu L, Zhong T, Zhao T H, Xu G Q. 2016. Migration quantitative dynamic of Aphis glycines in the suction trap monitor and the relationships with meteorological factors in Shenyang. Chinese Journal of Applied Entomology, 53, 365–372. (in Chinese)

Xu R M. 1985. Insects Population Ecology. Beijing Normal University Publishing Company, Beijing. pp. 243–247. (in Chinese)

Yue Z D, Hao J F. 1990. Monitoring and control threshold of the soybean aphid in Jilin province. China Plant Protection, 3, 28–30. (in Chinese)

Zhang P P, Feng L Z, Li Y, Li Z, Zhao H Y. 2018. Catastrophe model for pest population dynamics under meteorological influence. Journal of Northwest A&F University, 46, 113–120. (in Chinese)

Zhao H Y. 1996. Insect Ecology and Pests Forecast. Northwest A&F University Press, Shaanxi, China. pp. 12–30. (in Chinese)

Zheng L F, Zhao H Y, Liu G Z, Wu Y N. 2008. Aphid population numerical dynamical general model. Journal of Biomathematics, 23, 306–310. (in Chinese)

Zheng Y L, Yao S T. 2006. Occurrence regularity and control threshold of Aphis glycines in fresh soybean fields. Chinese Bulletin of Entomology, 43, 395–397. (in Chinese)

Zhu C L, Gao X T. 2013. Parameter estimates of cotton aphid population model. Journal of Huaiyin Teachers College, 12, 30–36. (in Chinese)