The effect of time delay in plant-pathogen interactions with host demography

Bruno Buonomo, Marianna Cerasuolo

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Abstract

Botanical epidemic models are very important tools to study invasion, persistence and control of diseases. It is well known that limitations arise from considering constant infection rates. We replace this hypothesis in the framework of delay differential equations by proposing a delayed epidemic model for plant–pathogen interactions with host demography. Sufficient conditions for the global stability of the pathogen-free equilibrium and the permanence of the system are among the results obtained through qualitative analysis. We also show that the delay can cause stability switches of the coexistence equilibrium. In the undelayed case, we prove that the onset of oscillations may occur through Hopf bifurcation.
Original languageEnglish
Pages (from-to)473-490
JournalMathematical Biosciences and Engineering
Volume12
Issue number3
Early online date1 Jan 2015
DOIs
Publication statusPublished - Jun 2015

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