@Article{Adebimpe2015, author="O. Adebimpe, K. A. Bashiru, T. A. Ojurongbe", title="Stability analysis of an SIR epidemic with non-linear incidence rate and treatment", journal="Open J. Model. Simul.", year="2015", pages="104--110", volume="3" } @Article{Balcı2019, author="E. Balcı, İ. Öztürk, S. Kartal", title="Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative", journal="Chaos Solitons Fractals", year="2019", pages="43--51", volume="123" } @Article{Barbarossa2017, author="M. V. Barbarossa, M. Polner, G. Röst", title="Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delays", journal="SIAM J. Appl. Math.", year="2017", pages="905--923", volume="77" } @Article{Beretta 1995, author="E. Beretta , Y. Takeuchi", title="Global stability of an SIR epidemic model with time delays", journal="J. Math. Biol.", year="1995", pages="250--260", volume="33" } @Article{Beretta2001, author="E. Beretta, T. Hara, W. Ma, Y. Takeuchi", title="Global asymptotic stability of an SIR epidemic model with distributed time delay", journal="Nonlinear Anal.", year="2001", pages="4107--4115", volume="47" } @Book{Brauer2012, author="F. Brauer, C. Castillo-Chavez", title="Mathematical models in population biology and epidemiology: second edition", year="2012", publisher="Springer", address="New York" } @Article{Cao2011, author="H. Cao, Y. Zhou, B. Song", title="https://www.hindawi.com/journals/ddns/2011/653937/", journal="Discrete Dyn. Nat. Soc.", year="2011", pages="21 pages", volume="2011" } @Article{Cox1980, author="E. B. Cox, M. A. Woodbury, L. E. Myers", title="A new model for tumor growth analysis based on a postulated inhibitory substance", journal="Comp. Biomed. Res.", year="1980", pages="437--445", volume="13" } @Book{Diewert1993, author="W. E. Diewert, K. Spremann, F. Stehling", title="Mathematical modelling in economics: Essays in Honor of Wolfgang Eichhorn", year="1993", publisher="Springer", address="Berlin" } @Article{Driessche2002, author="P. V. D. Driessche, J. Watmough", title="Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission", journal="Math. Biosci.", year="2002", pages="29--48", volume="180" } @Article{Tehrani2013, author="N. Farajzadeh Tehrani, M. R. Razvan, S. Yasaman", title="Global analysis of a delay SVEIR epidemiological model", journal="Iran. J. Sci. Technol. Trans. A Sci.", year="2013", pages="483--489", volume="37" } @Book{Freed2002, author="A. D. Freed, K. Diethelm, Y. Luchko", title="Fractional-order viscoelasticity (FOV): Constitutive developments using the fractional calculus: First annual report", year="2002", publisher="Technical Memorandum, TM-2002-211914, NASA Glenn Research Center", address="Cleveland" } @Article{Golgeli2019, author="M. Golgeli", title="A mathematical model of Hepatitis B transmission in Turkey", journal="Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat.", year="2019", pages="1586--1595", volume="68" } @Article{Gripenberg1981, author="G. Gripenberg", title="On some epidemic models", journal="Quart. Appl. Math.", year="1981", pages="317--327", volume="39" } @Article{Hethcote1980, author="H. W. Hethcote, D. W. Tudor", title="Integral equation models for endemic infectious diseases", journal="J. Math. Biol.", year="1980", pages="37--47", volume="9" } @Article{Hu1989, author="S. Hu, M. Khavanin, W. Zhuang", title="Integral equations arising in the kinetic theory of gases", journal="Appl. Anal.", year="1989", pages="261--266", volume="34" } @Article{Kermack1927, author="W. O. Kermack, A. G. McKendrick", title="A contribution to the mathematical theory of epidemics", journal="Part I Proc. Roy. Soc. A", year="1927", pages="700--721", volume="115" } @Article{Koca2018, author="I. Koca", title="Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators", journal="Eur. Phys. J. Plus", year="2018", pages="11 pages", volume="133" } @Article{Korobeinikov2004, author="A. Korobeinikov", title="Lyapunov functions and global properties for SEIR and SEIS epidemic models", journal="Math. Med. Biol.", year="2004", pages="75--83", volume="21" } @Book{Kuang1993, author="Y. Kuang", title="Delay differential equations: with applications in population dynamics", year="1993", publisher="Academic Press", address="Boston" } @Article{LaSalle1960, author="J. P. LaSalle", title="Some extensions of Liapunov’s second method", journal="IRE Trans. CT", year="1960", pages="520--527", volume="7" } @Article{Lu2002, author="Z. Lu, X. Chi, L. Chen", title="The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission", journal="Math. Comput. Modelling", year="2002", pages="1039--1057", volume="36" } @Article{Ma2004, author="W. Ma, M. Song, Y. Takeuchi", title="Global stability of an SIR epidemic model with time delay", journal="Appl. Math. Lett.", year="2004", pages="1141--1145", volume="17" } @Article{Ma2002, author="W. Ma, Y. Takeuchi, T. Hara, E. Beretta", title="Permanence of an SIR epidemic model with distributed time delays", journal="Tohoku Math. J.", year="2002", pages="581--591", volume="54" } @Article{McCluskey2010, author="C. C. McCluskey", title="Complete global stability for an SIR epidemic model with delay distributed or discrete", journal="Nonlinear Anal. Real World Appl.", year="2010", pages="55--59", volume="11" } @Article{Ojo2017, author="M. M. Ojo, F. O. Akinpelu", title="Lyapunov functions and global properties of SEIR epidemic model", journal="IJCMP", year="2017", pages="11--16", volume="1" } @Article{Side2018, author="S. Side, Y. M. Rangkuti, D. G. Pane, M. S. Sinaga", title="Stability analysis susceptible, exposed, infected, recovered (SEIR) model for spread model for spread of dengue fever in medan", journal="J. Phys.: Conf. Ser.", year="2018", pages="11 pages", volume="954" } @Article{Smith2011, author="H. L. Smith, H. R. Thieme", title="Dynamical systems and population persistence", journal="American Mathematical Society,", year="2011", pages="10 pages", volume="118" } @Article{Torvik1984, author="P. J. Torvik, R. L. Bagley", title="On the appearance of the fractional derivative in the behavior of real materials", journal="J. Appl. Mech.", year="1984", pages="294--298", volume="51" } @Article{Yang2016, author="B. Yang", title="Stochastic dynamics of an SEIS epidemic model", journal="Adv. Difference Equ.", year="2016", pages="11 pages", volume="226" }