Papers in international journals
38. M. Bisi, D. Cusseddu, A.J. Soares, R. Travaglini, Reaction–Diffusion Systems from Kinetic Models for Bacterial Communities on a Leaf Surface, J Nonlinear Sci, 36(23), 1-41, 2026. DOI
37. Ana M. Portillo, Ángel De Prado, A.J. Soares, A mathematical model to simulate the biological action of Infliximab on TNF-α in patients with Inflammatory Bowel Disease: the critical role of drug clearance. Bulletin of Mathematical Biology, 88(38), 1-26, 2026. DOI
36. M. Menale, A.J. Soares, R. Travaglini, A Nonconservative Kinetic Framework for a Closed-Market Society Subject to Shock Events, Acta Appl Math 201(11) 1-30, 2026. DOI
35. Yapışkan, D., Torres, D.F.M. Analysis of a New Mathematical Model for Epidemic Fear Propagation Under Media Influence. Int. J. Appl. Comput. Math 12 (2026), Art. 27, 1-23. DOI
34. M. Yurtoglu, D. Yapiskan, E. Bonyah, B. B. Iskender Eroglu, D. Avci and D. F. M. Torres, Dynamic Analysis and Optimal Prevention Strategies for Monkeypox Spread Modeled via the Mittag-Leffler Kernel, Fractal Fract. 2026, 10(1), Art. 44, 25 pp. DOI: 10.3390/fractalfract10010044 Link
33. F. Golse, V. Ricci, A.J. Soares, A model for slowing particles in random media, Discrete and Continuous Dynamical Systems, 45(9), 3084-3106, 2025. DOI
32. K. Azib, M.P.Ramos, C. Ribeiro, A linear optimal control model of immunotherapy for recurrent autoimmune disease, Chaos, Solitons & Fractals, 198, 116483, 1-16, 2025. DOI
31. M. Conte, R Travaglini, A kinetic derivation of spatial distributed models for tumor-immune system interactions, Chaos, Solitons & Fractals, 200(2), 1-24, 2025. DOI
30. M. Bisi, M. Groppi, G. Martalò, R. Travaglini, Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis, J. Math. Biol. 91(43), 1-40, 2025. DOI
29. Lemos-Silva, M., Vaz, S., & Torres, D. F. M. (2025). A consistent SIR model on time scales with exact solution. Nonlinear Dynamics, 113(25), 34439--34450.
28. Tajani, A., J. Silva, C., & Cantin, G. (2025). Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations. Mathematical Methods in the Applied Sciences. DOI
27. Doutor P., Castelhano R., Soares M.C., Guerrero B. V., Stollenwerk N., Aguiar M., and Patrício P. (2025),
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy. SIAM Journal on Applied Dynamical Systems Vol. 24, Iss. 4 (2025) DOI
26. Cerdeira JO, Chalub FACC, Hansen M. (2025) Group centrality in optimal and suboptimal vaccination for epidemic models in contact networks. Proc. R. Soc. A 481: 20240971. DOI
25. Lemos-Silva, M., Torres, D. F. M. Logistic equation on time scales, Examples and Counterexamples 8 (2025), Art. 100197. DOI
24. Ben Brahim, H., El Alaoui, FZ., Tajani, A., Torres, D. F. M. Existence and uniqueness of mild solutions for a class of psi-Caputo time-fractional systems of order from one to two. Fract Calc Appl Anal (2025). DOI
23. Chalub, F.A.C.C., Souza, M.O. Insuperable Strategies in Two-Player and Reducible Multi-Player Games. Dyn Games Appl (2025). DOI
22. Rocha, F., Silva, C. J., Pinheiro, S. J., Afreixo, V., Leitão, R. P., & Felgueiras, M. (2025). Characterization of the Appointment’s Reasons for “P—Psychological” on the ICPC-2 Scale in Primary Health Care Services. Mathematical and Computational Applications, 30(2), 28. DOI
21. A. L. Saraiva, C. J. Silva, J. Cabral, J. P. Antunes, P. Rama, S. J. Pinheiro & V. Afreixo, Analysis of Primary Healthcare Indicators. Mathematical and Computational Applications, 30(1) (2025), 14. DOI
20. M. Khalighi, L. Lahti, F. Ndairou, P. Rashkov, and D. F. M. Torres, Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals, Math. Biosci. 380 (2025), Art. 109373, 1-9. DOI
19. D. Yapiskan, C. J. Silva and D. F. M. Torres, Optimal Control of Microcephaly Under Vertical Transmission of Zika, Axioms 13 (2024), no. 11, Art. 772, 14 pp. DOI
18. M. Lemos-Silva, S. Vaz, D. F. M. Torres, Exact solution for a discrete-time SIR model, Appl. Numer. Math. 207 (2025) 339-347. DOI
17. J.M. Oliveira, M.P. Ramos, C. Ribeiro, A.J. Soares, Equilibrium of a kinetic model of oscillating patterns for chronic autoimmune diseases, Kinetic and Related Models, 17(6), 971-992, 2024. DOI
16. J.M. Oliveira, A.J. Soares, R. Travaglini, Kinetic models leading to pattern formation in the response of the immune system, Rivista di Matematica della Università di Parma, 15(1), 185-212, 2024.
15. G. Martalò, A.J. Soares, R. Travaglini, A BGK-Type Model for Multi-component Gas Mixtures Undergoing a Bimolecular Chemical Reaction, Journal of Statistical Physics, 192(1), 1-29, 2024. DOI
14. M. Menale, R. Travaglini, A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response,
Communications in Nonlinear Science and Numerical Simulation, 137, 108126, 1-16, 2024. DOI
13. G. Martalò, R. Travaglini, A reaction-cross-diffusion model derived from kinetic equations for gas mixtures, Physica D: Nonlinear Phenomena, 459(134029), 1-10, 2024. DOI
12. E. Addai, D. F. M. Torres, Z. Abdul-Hamid, M. N. Mezue and J. K. K. Asamoah, Modelling the dynamics of online food delivery services on the spread of food-borne diseases, Model. Earth Syst. Environ. 10 (2024), no. 4, 4993-5008. https://doi.org/10.1007/s40808-024-02046-8
11. Fabio A.C.C. Chalub, Paulo Doutor, Paula Patrício, Maria do Céu Soares, "Social vs. individual age-dependent costs of imperfect vaccination", Mathematical Biosciences, 2024, 109259. ISSN 0025-5564. https://doi.org/10.1016/j.mbs.2024.109259
10. Hansen, Matheus, and Fabio ACC Chalub. "Population dynamics and games of variable size." Journal of Theoretical Biology (2024): 111842. https://doi.org/10.1016/j.jtbi.2024.111842
9. O. K. Wanassi and D. F. M. Torres, Modeling Blood Alcohol Concentration Using Fractional Differential Equations Based on the $\psi$-Caputo Derivative, Math. Meth. Appl. Sci. 47 (2024), no. 9, 7793-7803. DOI
8. J.M. Oliveira, R. Travaglini, Reaction-diffusion systems derived from kinetic theory for Multiple Sclerosis, Math. Models Meth. Appl. Sci., 34(7), 1279-1308, 2024. DOI
7. M. Menale, A.J. Soares, A kinetic model with time-dependent proliferative/destructive rates, Math. Meth. Appl. Sci., 47(7), 5376-5391, 2023. DOI
6. A. Tajani, F.-Z. El Alaoui and D. F. M. Torres, Boundary Regional Controllability of Semilinear Systems Involving Caputo Time Fractional Derivatives, Lib. Math. (N.S.) 43 (2023), no. 1, 31-48.
5. A. Tajani, F.-Z. El Alaoui and D. F. M. Torres, Boundary controllability of Riemann-Liouville fractional semilinear equations, Commun. Nonlinear Sci. Numer. Simul. 131 (2024), Art. 107814, 11 pp. DOI: https://doi.org/10.1016/j.cnsns.2023.107814
4. Tedim, S., Afreixo, V., Felgueiras, M., Leitão, R.P., Pinheiro, S.J., Silva, C.J., Evaluating COVID-19 in Portugal: Bootstrap confidence interval. AIMS Mathematics, 2024, 9(2): 2756-2765. https://doi.org/10.3934/math.2024136
3. Chalub, FACC, Gómez-Corral, A, López-García, M, Palacios-Rodríguez, F. A., Markov chain model to investigate the spread of antibiotic-resistant bacteria in hospitals. Stud Appl Math. 2023; 151: 1498–1524. https://doi.org/10.1111/sapm.12637
2. Zaitri, M.A., Zitane, H., Torres, D.F.M., Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives. Computers in Biology and Medicine. 2023, 107679. https://doi.org/10.1016/j.compbiomed.2023.107679
1. Zaitri M.A., Silva C.J., Torres D.F.M. An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia. Axioms. 2023; 12(9):867. https://doi.org/10.3390/axioms12090867
Book chapters
7. L. Boudjellal, A.J. Soares, M.J. Torres, A Delayed Model for Tumor-Immune System Interactions. In: Čolić, M., Giesselmann, J., Glück, J., Kramar Fijavž, M., Mauroy, A., Mugnolo, D. (eds) Mathematical Models for Interacting Dynamics on Networks. MAT-DYN-NET 2024. Trends in Mathematics. Birkhäuser, Cham., 2026, 177-193. DOI
6. G. Martalò, A.J. Soares, R. Travaglini, Investigating Dynamics and Asymptotic Trend to Equilibrium in a Reactive BGK Model. In: Čolić, M., Giesselmann, J., Glück, J., Kramar Fijavž, M., Mauroy, A., Mugnolo, D. (eds) Mathematical Models for Interacting Dynamics on Networks. MAT-DYN-NET 2024. Trends in Mathematics. Birkhäuser, Cham., 2026, 411-425. DOI
5. Caio, P., Silva, C.J. (2025). Application of Indirect Methods to Optimal Control Problems in Epidemiology. In: Aguiar, A.P., Rocha Malonek, P., Pinto, V.H., Fontes, F.A.C.C., Chertovskih, R. (eds) CONTROLO 2024. CONTROLO 2024. Lecture Notes in Electrical Engineering, vol 1325. Springer, Cham. DOI
4. Lemos-Silva, M., Vaz, S., & Torres, D. F. M. (2025). Stability Analysis and Optimal Control of the Logistic Equation. In Springer Proceedings in Mathematics \& Statistics (pp. 307-327). Springer DOI
3. Zahra Belarbi, Benaoumeur Bayour and Delfim F. M. Torres,The Non-Population Conserving SIR Model on Time Scales. In Mathematical Analysis (pp. 134--146). Chapman and Hall/CRC, 2025. DOI
2. C. J. Silva, G. Cantin, Optimal Control Synchronization of a Complex Network of Predator-Prey Systems, In: IVAN KUPKA LEGACY: A Tour Through Controlled Dynamics, By Bernard Bonnard, Monique Chyba, David Holcman and Emmanuel Trélat (Eds.), AIMS Applied Mathematics, Vol. 12, Chapter 13, pages, 283--304, 2024. ISBN-10: 1-60133-026-X; ISBN-13: 978-1-60133-026-0 https://www.aimsciences.org/book/AM/volume/58
1. Pinto, J., Vaz, S., Torres, D.F.M. (2023), A Lotka-Volterra type model analyzed through different techniques. In Nonlinear Systems and Complexity (pp. 129–157), Springer. http://dx.doi.org/10.1007/978-3-031-42689-6_6
Books
Debnath, P., Srivastava, H. M., Torres, D. F. M., & Cho, Y. J (2025). Mathematical Analysis. Chapman and Hall/CRC. http://doi.org/10.1201/9781003530602