Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258602" target="_blank" >RIV/61989100:27740/25:10258602 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1155/cplx/4099469" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1155/cplx/4099469</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/cplx/4099469" target="_blank" >10.1155/cplx/4099469</a>
Alternative languages
Result language
angličtina
Original language name
Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
Original language description
The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously. Standard and nonstandard numerical techniques like Euler-Maruyama, stochastic Euler, stochastic Runge-Kutta, and stochastic nonstandard finite difference are presented for computational analysis. Furthermore, the nonstandard method is a dynamically consistent approximation of stochastic differential equations of the pine wilt epidemic model that is efficient, low cost, and independent of time-step size. The comparison section with standard methods strengthens the nonstandard method and supports the theoretical results of the model.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Complexity
ISSN
1076-2787
e-ISSN
1099-0526
Volume of the periodical
2025
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
13
Pages from-to
4099469
UT code for WoS article
001592101000001
EID of the result in the Scopus database
2-s2.0-105019190812