Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases

DOI10.1007/s11538-020-00767-2zbMath1451.92273OpenAlexW3043611371WikidataQ97533306 ScholiaQ97533306MaRDI QIDQ786056

Fahad Al Basir, Santanu Ray, Malay Banerjee, Sagar Adhurya, Ezio Venturino

Publication date: 12 August 2020

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-020-00767-2

zbMATH Keywords

stabilitybifurcationbasic reproduction numbertime delay model

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

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Cites Work

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• Modeling plant virus propagation with delays
• Dynamical analysis of delayed plant disease models with continuous or impulsive cultural control strategies
• A delayed predator-prey model with strong Allee effect in prey population growth
• Global dynamic analysis of a vector-borne plant disease model
• Stability analysis for a vector disease model
• Stability and bifurcation in plant-pathogens interactions
• Hopf bifurcation analysis for a model of plant virus propagation with two delays
• The dynamics of plant disease models with continuous and impulsive cultural control strategies
• Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models
• The biological control of disease vectors
• GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
• Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays

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