Open AccessTraveling wave solutions for the spatial diffusion of bird flu model
Author(s) -
Arrival Rince Putri,
Radhiatul Husna
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1317/1/012002
Subject(s) - traveling wave , homogeneous , diffusion , transmission (telecommunications) , bird flu , stability (learning theory) , boundary value problem , wave speed , constant (computer programming) , boundary (topology) , mathematical analysis , statistical physics , mathematics , physics , computer science , telecommunications , thermodynamics , biology , virus , virology , machine learning , influenza a virus subtype h5n1 , programming language
We describe mathematical model to study bird flu transmission in bird system and human system. The behaviour of this model was analyzed through stability of constant solutions. Our result shows that these stabilities depend on values of some parameters. Furthermore, the model of bird system is reformulated by adding diffusive term. Traveling wave solutions of the diffusive model were investigated. The positive solutions are numerically illustrated with homogeneous Neumann boundary conditions. The result shows that transmission progress can be expressed in form of a traveling wave solutions.