Markov semigroup approach to the analysis of a nonlinear stochastic plant disease model

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dc.contributor.authorQi, Haokun
dc.contributor.authorMeng, Xinzhu
dc.contributor.authorChang, Zhengbo
dc.date.accessioned2021-12-06T15:32:04Z
dc.date.available2021-12-06T15:32:04Z
dc.date.issued2019-10-18
dc.description.abstractIn this article, we consider a stochastic plant disease model with logistic growth and saturated incidence rate. We analyze long-term behaviors of densities of the distributions of the solution. On the basis of the theory of Markov semigroup, we obtain the existence of asymptotically stable stationary distribution density of the stochastic system. We demonstrate that the densities can converge in L1 to an invariant density under appropriate conditions. Moreover, we obtain the sufficient conditions for extinction of the disease. Also, we present a series of numerical simulations to illustrate our theoretical results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationQi, H., Meng, X., & Chang, Z. (2019). Markov semigroup approach to the analysis of a nonlinear stochastic plant disease model. <i>Electronic Journal of Differential Equations, 2019</i>(116), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15010
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPlant disease model
dc.subjectMarkov semigroup
dc.subjectStationary distribution
dc.subjectExtinction
dc.titleMarkov semigroup approach to the analysis of a nonlinear stochastic plant disease model
dc.typeArticle

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