Modeling the spreading and interaction between wild and transgenic mosquitoes with a random dispersal

Autor: Antonio José Boness dos Santos, Jairo Rocha de Faria, Ana Paula Wyse, Juarez dos Santos Azevedo, Josenildo Silva de Lima
Jazyk: angličtina
Rok vydání: 2018
Předmět:
0106 biological sciences
0301 basic medicine
Male
Statistical methods
Monte Carlo method
Mass diffusivity
lcsh:Medicine
Disease Vectors
01 natural sciences
Mosquitoes
Systems Science
Animals
Genetically Modified
Medicine and Health Sciences
Diffusion (business)
lcsh:Science
Mathematics
Mass Diffusivity
Multidisciplinary
Partial differential equation
Mathematical model
Mathematical Models
Physics
Applied Mathematics
Statistics
Eukaryota
Quantitative Biology::Genomics
Finite element method
Insects
Physical sciences
Chemistry
Infectious Diseases
Female
Biological system
Research Article
Computer and Information Sciences
Arthropoda
Infectious Disease Control
Finite Element Analysis
Animals
Wild
010603 evolutionary biology
03 medical and health sciences
Parasitic Diseases
Animals
Models
Statistical
Chemical Physics
lcsh:R
Organisms
Biology and Life Sciences
Tropical Diseases
Invertebrates
Term (time)
Insect Vectors
Malaria
Research and analysis methods
Nonlinear system
Species Interactions
030104 developmental biology
Culicidae
Nonlinear Dynamics
Mathematical and statistical techniques
lcsh:Q
Animal Distribution
Nonlinear Systems
Zdroj: PLoS ONE, Vol 13, Iss 10, p e0205879 (2018)
PLoS ONE
ISSN: 1932-6203
Popis: Due to recent advances in genetic manipulation, transgenic mosquitoes may be a viable alternative to reduce some diseases. Feasibility conditions are obtained by simulating and analyzing mathematical models that describe the behavior of wild and transgenic populations living in the same geographic area. In this paper, we present a reaction–diffusion model in which the reaction term is a nonlinear function that describes the interaction between wild and transgenic mosquitoes, considering the zygosity, and the diffusive term that represents a nonuniform spatial spreading characterized by a random diffusion parameter. The resulting nonlinear system of partial differential equations is numerically solved using the sequential operator splitting technique, combining the finite element method and Runge-Kutta method. This scheme is numerically implemented considering uncertainty in the diffusion parameters of the model. Several scenarios simulating spatial release strategies of transgenic mosquitoes are analyzed, demonstrating an intrinsic association between the transgene frequency in the total population and the strategy adopted.
Databáze: OpenAIRE
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