Mathematical modeling of citrus groves infected by huanglongbing. 2013

Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. karlyj@ufl.edu

Huanglongbing (citrus greening) is a bacterial disease that is significantly impacting the citrus industry in Florida and poses a risk to the remaining citrus-producing regions of the United States. A mathematical model of a grove infected by citrus greening is developed. An equilibrium stability analysis is presented. The basic reproductive number and its relation to the persistence of the disease is discussed. A numerical study is performed to illustrate the theoretical findings.

UI MeSH Term Description Entries
D007303 Insect Vectors Insects that transmit infective organisms from one host to another or from an inanimate reservoir to an animate host. Insect Vector,Vector, Insect,Vectors, Insect
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D010935 Plant Diseases Diseases of plants. Disease, Plant,Diseases, Plant,Plant Disease
D011157 Population Dynamics The pattern of any process, or the interrelationship of phenomena, which affects growth or change within a population. Malthusianism,Neomalthusianism,Demographic Aging,Demographic Transition,Optimum Population,Population Decrease,Population Pressure,Population Replacement,Population Theory,Residential Mobility,Rural-Urban Migration,Stable Population,Stationary Population,Aging, Demographic,Decrease, Population,Decreases, Population,Demographic Transitions,Dynamics, Population,Migration, Rural-Urban,Migrations, Rural-Urban,Mobilities, Residential,Mobility, Residential,Optimum Populations,Population Decreases,Population Pressures,Population Replacements,Population Theories,Population, Optimum,Population, Stable,Population, Stationary,Populations, Optimum,Populations, Stable,Populations, Stationary,Pressure, Population,Pressures, Population,Replacement, Population,Replacements, Population,Residential Mobilities,Rural Urban Migration,Rural-Urban Migrations,Stable Populations,Stationary Populations,Theories, Population,Theory, Population,Transition, Demographic,Transitions, Demographic
D002957 Citrus A plant genus of the family RUTACEAE. They bear the familiar citrus fruits including oranges, grapefruit, lemons, and limes. There are many hybrids which makes the nomenclature confusing. Citron Tree,Fruit, Citrus,Lemon Tree,Orange Tree, Bitter,Orange Tree, Mandarin,Orange Tree, Seville,Orange Tree, Sour,Pomelo Tree,Pummelo Tree,Tangerine Tree,Citrus Fruit,Citrus aurantium,Citrus bergamia,Citrus grandis,Citrus hystrix,Citrus limon,Citrus maxima,Citrus medica,Citrus reticulata,Kaffir Lime,Bitter Orange Tree,Bitter Orange Trees,Citron Trees,Citrus aurantiums,Citrus bergamias,Citrus grandi,Citrus hystrices,Citrus medicas,Citrus reticulatas,Lemon Trees,Lime, Kaffir,Mandarin Orange Tree,Mandarin Orange Trees,Orange Trees, Bitter,Orange Trees, Mandarin,Orange Trees, Seville,Orange Trees, Sour,Pomelo Trees,Pummelo Trees,Seville Orange Tree,Seville Orange Trees,Sour Orange Tree,Sour Orange Trees,Tangerine Trees,Tree, Bitter Orange,Tree, Citron,Tree, Lemon,Tree, Mandarin Orange,Tree, Pomelo,Tree, Pummelo,Tree, Seville Orange,Tree, Sour Orange,Tree, Tangerine,Trees, Bitter Orange,Trees, Citron,Trees, Lemon,Trees, Mandarin Orange,Trees, Pomelo,Trees, Pummelo,Trees, Seville Orange,Trees, Sour Orange,Trees, Tangerine,aurantium, Citrus,bergamia, Citrus,hystrices, Citrus,maxima, Citrus,medicas, Citrus,reticulata, Citrus
D005431 Florida State bounded on east by the Atlantic Ocean, on the south by the Gulf of Mexico, on the west by Alabama and on the north by Alabama and Georgia.
D006430 Hemiptera A large order of insects characterized by having the mouth parts adapted to piercing or sucking. It is comprised of four suborders: HETEROPTERA, Auchenorrhyncha, Sternorrhyncha, and Coleorrhyncha. Aleurodoidea,Cicadas,Cicadelloidea,Cicadoidea,Coccoidea,Fulgoroidea,Leafhoppers,Psyllids,Psylloidea,Scale Insects,Treehoppers,Whiteflies,Homoptera,Aleurodoideas,Cicada,Cicadelloideas,Cicadoideas,Coccoideas,Fulgoroideas,Hemipteras,Homopteras,Insect, Scale,Insects, Scale,Leafhopper,Psyllid,Psylloideas,Scale Insect,Treehopper,Whitefly
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D012230 Rhizobiaceae A family of gram-negative bacteria which are saprophytes, symbionts, or plant pathogens. Bradyrhizobium lupini,Neorhizobium galegae,Rhizobium galegae,Rhizobium lupini
D049490 Systems Biology Comprehensive, methodical analysis of complex biological systems by monitoring responses to perturbations of biological processes. Large scale, computerized collection and analysis of the data are used to develop and test models of biological systems. Biology, Systems

Related Publications

Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
July 2012, Proceedings of the National Academy of Sciences of the United States of America,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
March 2014, Pest management science,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
December 2023, The Plant journal : for cell and molecular biology,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
August 2022, Antibiotics (Basel, Switzerland),
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
December 2019, Mathematical biosciences and engineering : MBE,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
March 2010, Journal of food science,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
January 2020, Frontiers in plant science,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
April 2013, Applied spectroscopy,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
January 2010, Annual review of phytopathology,
Karly Jacobsen, and Jillian Stupiansky, and Sergei S Pilyugin
February 2007, Plant disease,
Copied contents to your clipboard!