`a`
Mathematical Biosciences and Engineering (MBE)
 

Mathematical modeling of citrus groves infected by huanglongbing
Pages: 705 - 728, Issue 3, June 2013

doi:10.3934/mbe.2013.10.705      Abstract        References        Full text (486.3K)           Related Articles

Karly Jacobsen - Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, United States (email)
Jillian Stupiansky - Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, United States (email)
Sergei S. Pilyugin - Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, United States (email)

1 R. N. Allen, Epidemiological factors influencing the success of roguing for the control of bunchy top disease of bananas in New South Wales, Australian Journal of Agricultural Research, 29 (1978), 535-544.
2 USDA Animal and Plant Health Inspection Service, "APHIS News Release: USDA Announces Quarantine to Prevent the Spread of Citrus Disease," http://www.freshfromflorida.com/pi/chrp/greening/citrus_disease-june-2010.pdf. 2010.
3 M. S. Chan and M. J. Jeger, An analytical model of plant virus disease dynamics with roguing and replanting, Journal of Applied Ecology, 31 (1994), 413-427.
4 S. Fishman, R. Marcus, H. Talpaz, M. Bar-Joseph, Y. Oren, R. Salomon and M. Zohar, Epidemiological and economic models for spread and control of citrus tristeza virus disease, Phytoparasitica, 11 (1983), 39-49.
5 A. Fonda, Uniformly persistent semidynamical systems, Proceedings of the American Mathematical Society, 104 (1988), 111-116.       
6 H. Freedman, S. Ruan and M. Tang, Uniform persistence and flows near a closed positively invariant set, Journal of Dynamics and Differential Equations, 6 (1994), 583-600.       
7 K. Gopalsamy, "Stability and Oscillations in Delay Differential Equations of Population Dynamics," Kluwer Academic Publishers, Dordrecht, 1992.       
8 T. Gottwald, Current epidemiological understanding of citrus Huanglongbing, Annual Review of Phytopathology, 48 (2010), 119-139.
9 S. E. Halbert, personal communication, 2010.
10 S. E. Halbert, personal communication, 2012.
11 S. E. Halbert and C. K. Manjunath, Asian citrus psyllids (Sternorrhyncha: Psyllidae) and greening disease of citrus: A literature review and assessment of risk in Florida, The Florida Entomologist, 87 (2004), 330-353.
12 A. Hodges and T. Spreen, Economic impacts of citrus greening (hlb) in florida, 2006/07-2010/11, Food and Resource Economics Department, Florida Cooperative Extension Service, Institute of Food and Agricultural Sciences, University of Florida, (2012), http://edis.ifas.ufl.edu/pdffiles/FE/FE90300.pdf.
13 R. W. H. Pluke, J. A. Qureshi and P. A. Stansly, Citrus flushing patterns, Diaphorina citri (Hemiptera: Psyllidae) populations and parasitism by Tamarixia radiata (Hymenoptera: Eulophidae) in Puerto Rico, The Florida Entomologist, 91 (2008), 36-42.
14 H. L. Smith and P. Waltman, "The Theory of the Chemostat," Cambridge University Press, Cambridge, 1995.       
15 Texas Department of Agriculture, Texas department of agriculture and USDA confirm detection of plant disease that damages citrus trees, http://www.texasagriculture.gov/RegulatoryPrograms/PlantQuality/PestandDiseaseAlerts/CitrusGreening.aspx, 2012.
16 A. Van Bruggen, personal communication, 2010.
17 P. Van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48.       
18 C. F. Xu, Y. H. Xia, K. B. Li and C. Ke, Further study of the transmission of citrus Huanglongbing by a psyllid, Diaphorina citri Kuwayama, in "Proceedings of the 10th Conference, International Organization of Citrus Virologists" Riverside, California, (1988), 243-248.

Go to top