@article{MTMT:32862432,
	title = {Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions},
	url = {https://m2.mtmt.hu/api/publication/32862432},
	author = {Takács, Bálint and Faragó, István and Horváth, Róbert and Repovš, Dušan},
	doi = {10.1515/cmam-2021-0208},
	journal-iso = {COMPUT METHODS APPL MATH},
	journal = {COMPUTATIONAL METHODS IN APPLIED MATHEMATICS},
	volume = {22},
	unique-id = {32862432},
	issn = {1609-4840},
	abstract = {In this article, a space-dependent epidemic model equipped with a constant latency period is examined. We construct a delay partial integro-differential equation and show that its solution possesses some biologically reasonable features. We propose some numerical schemes and show that, by choosing the time step to be sufficiently small, the schemes preserve the qualitative properties of the original continuous model. Finally, some numerical experiments are presented that confirm the aforementioned theoretical results.},
	year = {2022},
	eissn = {1609-9389},
	pages = {713-728},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615; Repovš, Dušan/0000-0002-6643-1271}
}

@inproceedings{MTMT:32625987,
	title = {Numerical methods for space-dependent epidemic models},
	url = {https://m2.mtmt.hu/api/publication/32625987},
	author = {Teshome, Bayleyegn and Takács, Bálint and Horváth, Róbert and Faragó, István and Yiannis, Hadjimichael},
	booktitle = {Conference on Developments in Computer Science},
	unique-id = {32625987},
	year = {2021},
	pages = {177-180},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615}
}

@inproceedings{MTMT:32625789,
	title = {Numerical solution of differential equations, qualitative properties and applications},
	url = {https://m2.mtmt.hu/api/publication/32625789},
	author = {Horváth, Róbert},
	booktitle = {Conference on Developments in Computer Science},
	unique-id = {32625789},
	year = {2021},
	pages = {161-164}
}

@article{MTMT:31432363,
	title = {On nonlinear Schrödinger equations on the hyperbolic space},
	url = {https://m2.mtmt.hu/api/publication/31432363},
	author = {Cencelj, Matija and Faragó, István and Horváth, Róbert and Repovš, Dušan D.},
	doi = {10.1016/j.jmaa.2020.124516},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {492},
	unique-id = {31432363},
	issn = {0022-247X},
	year = {2020},
	eissn = {1096-0813},
	orcid-numbers = {Cencelj, Matija/0000-0001-5791-5517; Faragó, István/0000-0002-4615-7615; Horváth, Róbert/0000-0003-2205-4299; Repovš, Dušan D./0000-0002-6643-1271}
}

@article{MTMT:30744349,
	title = {Space dependent models for studying the spread of some diseases},
	url = {https://m2.mtmt.hu/api/publication/30744349},
	author = {Takács, Bálint and Horváth, Róbert and Faragó, István},
	doi = {10.1016/j.camwa.2019.07.001},
	journal-iso = {COMPUT MATH APPL},
	journal = {COMPUTERS AND MATHEMATICS WITH APPLICATIONS},
	volume = {80},
	unique-id = {30744349},
	issn = {0898-1221},
	year = {2020},
	eissn = {1873-7668},
	pages = {395-404},
	orcid-numbers = {Takács, Bálint/0000-0002-7392-7099; Faragó, István/0000-0002-4615-7615}
}

@article{MTMT:30740292,
	title = {On some discrete qualitative properties of implicit finite difference solutions of nonlinear parabolic problems},
	url = {https://m2.mtmt.hu/api/publication/30740292},
	author = {Horváth, Róbert},
	doi = {10.1016/j.cam.2019.06.046},
	journal-iso = {J COMPUT APPL MATH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	volume = {364},
	unique-id = {30740292},
	issn = {0377-0427},
	year = {2020},
	eissn = {1879-1778}
}

@article{MTMT:30767759,
	title = {Qualitative properties of discrete nonlinear parabolic operators},
	url = {https://m2.mtmt.hu/api/publication/30767759},
	author = {Horváth, Róbert and Faragó, István and Karátson, János},
	doi = {10.1007/s00211-019-01062-6},
	journal-iso = {NUMER MATH},
	journal = {NUMERISCHE MATHEMATIK},
	volume = {143},
	unique-id = {30767759},
	issn = {0029-599X},
	year = {2019},
	eissn = {0945-3245},
	pages = {529-553},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615; Karátson, János/0000-0003-1369-7743}
}

@article{MTMT:3417313,
	title = {The effect of tree diffusion in a two-dimensional continuous model for Easter Island},
	url = {https://m2.mtmt.hu/api/publication/3417313},
	author = {Takács, Bálint and Horváth, Róbert and Faragó, István},
	doi = {10.1007/s40879-018-0276-3},
	journal-iso = {EUR J MATH},
	journal = {EUROPEAN JOURNAL OF MATHEMATICS},
	volume = {5},
	unique-id = {3417313},
	issn = {2199-675X},
	year = {2019},
	eissn = {2199-6768},
	pages = {845-857},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615}
}

@inproceedings{MTMT:31230286,
	title = {Reliable Numerical Models and Their Applications},
	url = {https://m2.mtmt.hu/api/publication/31230286},
	author = {Faragó, István and Horváth, Róbert and Mincsovics, Miklós Emil and Mosleh, Rahele and Dorner, F.},
	booktitle = {Numerical Methods for Scientific Computations and Advanced Applications (NMSCAA'18)},
	unique-id = {31230286},
	year = {2018},
	pages = {32-37},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615}
}

@article{MTMT:3393150,
	title = {Qualitative properties of nonlinear parabolic operators II.: the case of PDE systems},
	url = {https://m2.mtmt.hu/api/publication/3393150},
	author = {Csóka, József and Faragó, István and Horváth, Róbert and Karátson, János and Sergey, Korotov},
	doi = {10.1016/j.jmaa.2018.07.015},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {468},
	unique-id = {3393150},
	issn = {0022-247X},
	year = {2018},
	eissn = {1096-0813},
	pages = {64-86},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615; Karátson, János/0000-0003-1369-7743}
}