## Biomath

### International Journal on Mathematical Methods and Models in Biosciences

 Short Title: Biomath Publisher: Biomath Forum, Sofia ISSN: 1314-684X; 1314-7218/e Online: http://www.biomathforum.org/biomath/index.php/biomath/issue/archive Comments: This journal is available open access.
 Documents Indexed: 98 Publications (since 2012)
all top 5

### Latest Issues

 8, No. 1 (2019) 7, No. 2 (2018) 7, No. 1 (2018) 6, No. 2 (2017) 6, No. 1 (2017) 5, No. 2 (2016) 5, No. 1 (2016) 4, No. 2 (2015) 4, No. 1 (2015) 3, No. 2 (2014) 3, No. 1 (2014) 2, No. 2 (2013) 2, No. 1 (2013) 1, No. 2 (2012) 1, No. 1 (2012)
all top 5

all top 5

### Fields

 86 Biology and other natural sciences (92-XX) 13 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 9 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

56 Publications have been cited 114 times in 107 Documents Cited by Year
Modeling and simulations of mosquito dispersal. The case of Aedes albopiclus. Zbl 1368.92141
Dufaurd, C.; Dumont, Y.
2012
Backward bifurcation in SIVS model with immigration of non-infectives. Zbl 1368.92180
Knipl, Diána H.; Röst, Gergely
2013
Dynamics of an “SAIQR” influenza model. Zbl 1331.92152
Vivas-Barber, Ana; Castillo-Chavez, Carlos; Barany, Ernest
2014
Coupling within-host and between-host infectious diseases models. Zbl 1368.92188
Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M.
2015
Modeling the dynamics of arboviral diseases with vaccination perspective. Zbl 1373.92116
Abboubakar, Hamadjam; Kamgang, Jean C.; Nkamba, Léontine N.; Tieudjo, Daniel; Emini, Lucas
2015
Mathematical problems in the theory of bone poroelasticity. Zbl 1368.92026
2012
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2015
Impact of perfect drug adherence on immunopathogenic mechanism for dynamical system of psoriasis. Zbl 1368.92085
Roy, Priti Kumar; Datta, Abhirup
2013
On some multipoint methods arising from optimal in the sense of Kung-Traub algorithms. Zbl 1368.65071
Kyurkchiev, Nikolay; Iliev, Anton
2013
Multiscale analysis of ionic transport in periodic charged media. Zbl 1368.92022
Timofte, Claudia
2013
Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems. Zbl 1368.92205
Yatat, Valaire; Dumont, Yves; Tewa, Jean Jules; Couteron, Pierre; Bowong, Samuel
2014
Mathematical modelling and optimal control of anthracnose. Zbl 1368.92174
Fotsa, David; Houpa, Elvis; Bekolle, David; Thron, Christopher; Ndoumbe, Michel
2014
On the cyclic DNA codes over the finite rings $$\mathbb Z_4+w\mathbb Z_4$$ and $$\mathbb Z_4+w\mathbb Z_4+v\mathbb Z_4+wv\mathbb Z_4$$. Zbl 1406.94091
Dertli, Abdullah; Cengellenmis, Yasemin
2017
Pulsing corals: a story of scale and mixing. Zbl 1406.92140
Samson, Julia E.; Battista, Nicholas A.; Khatri, Shilpa; Miller, Laura A.
2017
A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199
Welker, Jonathan Shane; Martcheva, Maia
2019
Inverse problem of the Holling-Tanner model and its solution. Zbl 1425.92006
2018
A generic modeling of fire impact in a tree-grass savanna model. Zbl 1331.92157
Tamen, A. Tchuinté; Tewa, J. J.; Couteron, P.; Bowong, S.; Dumont, Y.
2014
Structure of the global attractors in a model for ectoparasite-borne diseases. Zbl 1368.92170
Dénes, Attila; Röst, Gergely
2012
Quantitative structure-activity relationships: linear regression modelling and validation strategies by example. Zbl 1368.92009
Bolboacă, Sorana D.; Jäntschi, Lorentz
2013
On a bivariate Poisson negative binomial risk process. Zbl 1368.60039
2014
Stability analysis of a schistosomiasis transmission model with control strategies. Zbl 1373.92120
2015
Qualitative effects of introducing nonlinear birth and death rates for the predator in a predator-prey type model. Zbl 1406.92502
Ivanov, Tihomir B.; Dimitrova, Neli S.
2017
Permanence and periodic solution for a modified Leslie-Gower type predator-prey model with diffusion and non constant coefficients. Zbl 1406.92511
Moussaoui, Ali; Aziz Alaoui, M. A.; Yafia, R.
2017
A class of individual-based models. Zbl 1406.92505
Lachowicz, Mirosław
2018
The impact of environmental noise on animal communication: pattern formation in a class of deterministic and stochastic hyperbolic models for self-organised biological aggregations. Zbl 1406.92713
Eftimie, Raluca
2018
Some properties of the Blumberg’s hyper-log-logistic curve. Zbl 1406.92485
Anguelov, Roumen; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer. Zbl 1425.92063
Clairambault, Jean; Pouchol, Camille
2019
Modelling cell-cell collision and adhesion with the filament based lamellipodium model. Zbl 1425.92035
Sfakianakis, Nikolaos; Peurichard, Diane; Brunk, Aaron; Schmeiser, Christian
2018
A tribute to the use of minimalistic spatially-implicit models of savanna vegetation dynamics to address broad spatial scales in spite of scarce data. Zbl 1425.92219
Yatat Djeumen, Ivric Valaire; Tamen, Alexis Tchuinté; Dumont, Yves; Couteron, Pierre
2018
Modelling and analysis of miRNA regulation. Zbl 1331.92047
Nikolov, Svetoslav G.
2014
A model for the transmission of Chagas disease with random inputs. Zbl 1331.92144
Coffield, Daniel J. jun.; Kuttler, Ken; Qu, Xianggui; Rabinovich, Jorge
2014
Regular and discontinuous solutions in a reaction-diffusion model for hair follicle spacing. Zbl 1331.92088
Rashkov, Peter
2014
Constructing one-dimensional continuous models from two-dimensional discrete models of medical implants. Zbl 1368.92084
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Tang, Liping
2012
Multiscale analysis of composite structures. Zbl 1368.74010
Timofte, Claudia
2012
Viral dynamic model of antiretroviral therapy including the integrase inhibitor raltegravir in patients with HIV-1. Zbl 1368.92100
Bon, Dimitra; Stephan, Christoph; Keppler, Oliver; Herrmann, Eva
2012
Growth in a turing model of cortical folding. Zbl 1368.92029
Toole, Gregory; Hurdal, Monica K.
2012
An upstream finite volume scheme for a bone healing model. Zbl 1368.92082
Coudière, Yves; Saad, Mazen; Uzureau, Alexandre
2012
Dynamics of an SIS model on homogeneous networks with delayed reduction of contact numbers. Zbl 1368.92185
Liu, Maoxing; Röst, Gergely
2012
Predator-prey model with prey harvesting, holling response function of type III and SIS disease. Zbl 1368.92157
Tewa, Jean Jules; Demasse, Ramses Djidjou; Bowong, Samuel
2012
Dynamical analysis of the MicroRNA-mediated protein translation process. Zbl 1368.92055
Jordanov, Ivan; Nikolova, Elena; Vitanov, Nikolay
2013
A patchy model for Chikungunya-like diseases. Zbl 1368.92166
Bowong, Samuel; Dumont, Yves; Tewa, Jean Jules
2013
The algebraic structure of spaces of intervals. Contribution of Svetoslav Markov to interval analysis and its applications. Zbl 1368.01031
Anguelov, Roumen
2013
The linear space of Hausdorff continuous interval functions. Zbl 1368.46026
van der Walt, Jan Harm
2013
Mathematical and numerical analysis of a modified Keller-Segel model with general diffusive tensors. Zbl 1368.92031
Chamoun, Georges; Saad, Mazen; Talhouk, Raafat
2013
A class of mathematical models describing processes in spatially heterogeneous biofilm communities. Zbl 1368.92114
Sonner, Stefanie
2013
Stochastic arithmetic as a tool to study the stability of biological models. Zbl 1368.92007
Alt, Rene; Lamotte, Jean-Luc
2013
Cell growth models using reaction schemes: batch cultivation. Zbl 1368.92045
Markov, Svetoslav
2013
Numerical analysis of a size-structured population model with a dynamical resource. Zbl 1368.92132
Angulo, Oscar; López-Marcos, J. C.; López-Marcos, M. A.
2014
Steady state stability analysis of a Chagas disease model. Zbl 1368.92169
Coffield, Daniel J. jun.; Spagnuolo, Anna Maria
2014
Peristaltic transport of viscoelastic bio-fluids with fractional derivative models. Zbl 1367.92028
Bazhlekova, Emilia; Bazhlekov, Ivan
2016
A mathematical model of absorbing Markov chains to understand the routes of metastasis. Zbl 1367.92055
Margarit, David H.; Romanelli, Lilia
2016
Multiple regulation mechanisms of bacterial Quorum sensing. Zbl 1368.92113
Kumberger, Peter; Kuttler, Christina; Czuppon, Peter; Hense, Burkhard A.
2016
Modeling of community and hospital-acquired methicillin-resistant Staphylococcus aureus transmission in hospital settings. Zbl 1368.92165
Agusto, F. B.; Knight, K. N.; Jones, M.
2015
Identification of HIV dynamic system in the case of incomplete experimental data. Zbl 1368.92189
Mathye, P.; Fedotov, I.; Shatalov, M.
2015
A particular solutions for a two-phase model with a sharp interface. Zbl 1373.76283
Ekrut, David Allen; Cogan, Nicholas G.
2015
A parameter uniform almost first order convergent numerical method for nonlinear system of singularly perturbed differential equations. Zbl 1466.92066
Ishwariya, Raj; Merlin, Johnson Princy; Miller, J. J. H.; Valarmathi, Sigamani
2016
A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199
Welker, Jonathan Shane; Martcheva, Maia
2019
A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer. Zbl 1425.92063
Clairambault, Jean; Pouchol, Camille
2019
Inverse problem of the Holling-Tanner model and its solution. Zbl 1425.92006
2018
A class of individual-based models. Zbl 1406.92505
Lachowicz, Mirosław
2018
The impact of environmental noise on animal communication: pattern formation in a class of deterministic and stochastic hyperbolic models for self-organised biological aggregations. Zbl 1406.92713
Eftimie, Raluca
2018
Some properties of the Blumberg’s hyper-log-logistic curve. Zbl 1406.92485
Anguelov, Roumen; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
Modelling cell-cell collision and adhesion with the filament based lamellipodium model. Zbl 1425.92035
Sfakianakis, Nikolaos; Peurichard, Diane; Brunk, Aaron; Schmeiser, Christian
2018
A tribute to the use of minimalistic spatially-implicit models of savanna vegetation dynamics to address broad spatial scales in spite of scarce data. Zbl 1425.92219
Yatat Djeumen, Ivric Valaire; Tamen, Alexis Tchuinté; Dumont, Yves; Couteron, Pierre
2018
On the cyclic DNA codes over the finite rings $$\mathbb Z_4+w\mathbb Z_4$$ and $$\mathbb Z_4+w\mathbb Z_4+v\mathbb Z_4+wv\mathbb Z_4$$. Zbl 1406.94091
Dertli, Abdullah; Cengellenmis, Yasemin
2017
Pulsing corals: a story of scale and mixing. Zbl 1406.92140
Samson, Julia E.; Battista, Nicholas A.; Khatri, Shilpa; Miller, Laura A.
2017
Qualitative effects of introducing nonlinear birth and death rates for the predator in a predator-prey type model. Zbl 1406.92502
Ivanov, Tihomir B.; Dimitrova, Neli S.
2017
Permanence and periodic solution for a modified Leslie-Gower type predator-prey model with diffusion and non constant coefficients. Zbl 1406.92511
Moussaoui, Ali; Aziz Alaoui, M. A.; Yafia, R.
2017
Peristaltic transport of viscoelastic bio-fluids with fractional derivative models. Zbl 1367.92028
Bazhlekova, Emilia; Bazhlekov, Ivan
2016
A mathematical model of absorbing Markov chains to understand the routes of metastasis. Zbl 1367.92055
Margarit, David H.; Romanelli, Lilia
2016
Multiple regulation mechanisms of bacterial Quorum sensing. Zbl 1368.92113
Kumberger, Peter; Kuttler, Christina; Czuppon, Peter; Hense, Burkhard A.
2016
A parameter uniform almost first order convergent numerical method for nonlinear system of singularly perturbed differential equations. Zbl 1466.92066
Ishwariya, Raj; Merlin, Johnson Princy; Miller, J. J. H.; Valarmathi, Sigamani
2016
Coupling within-host and between-host infectious diseases models. Zbl 1368.92188
Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M.
2015
Modeling the dynamics of arboviral diseases with vaccination perspective. Zbl 1373.92116
Abboubakar, Hamadjam; Kamgang, Jean C.; Nkamba, Léontine N.; Tieudjo, Daniel; Emini, Lucas
2015
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2015
Stability analysis of a schistosomiasis transmission model with control strategies. Zbl 1373.92120
2015
Modeling of community and hospital-acquired methicillin-resistant Staphylococcus aureus transmission in hospital settings. Zbl 1368.92165
Agusto, F. B.; Knight, K. N.; Jones, M.
2015
Identification of HIV dynamic system in the case of incomplete experimental data. Zbl 1368.92189
Mathye, P.; Fedotov, I.; Shatalov, M.
2015
A particular solutions for a two-phase model with a sharp interface. Zbl 1373.76283
Ekrut, David Allen; Cogan, Nicholas G.
2015
Dynamics of an “SAIQR” influenza model. Zbl 1331.92152
Vivas-Barber, Ana; Castillo-Chavez, Carlos; Barany, Ernest
2014
Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems. Zbl 1368.92205
Yatat, Valaire; Dumont, Yves; Tewa, Jean Jules; Couteron, Pierre; Bowong, Samuel
2014
Mathematical modelling and optimal control of anthracnose. Zbl 1368.92174
Fotsa, David; Houpa, Elvis; Bekolle, David; Thron, Christopher; Ndoumbe, Michel
2014
A generic modeling of fire impact in a tree-grass savanna model. Zbl 1331.92157
Tamen, A. Tchuinté; Tewa, J. J.; Couteron, P.; Bowong, S.; Dumont, Y.
2014
On a bivariate Poisson negative binomial risk process. Zbl 1368.60039
2014
Modelling and analysis of miRNA regulation. Zbl 1331.92047
Nikolov, Svetoslav G.
2014
A model for the transmission of Chagas disease with random inputs. Zbl 1331.92144
Coffield, Daniel J. jun.; Kuttler, Ken; Qu, Xianggui; Rabinovich, Jorge
2014
Regular and discontinuous solutions in a reaction-diffusion model for hair follicle spacing. Zbl 1331.92088
Rashkov, Peter
2014
Numerical analysis of a size-structured population model with a dynamical resource. Zbl 1368.92132
Angulo, Oscar; López-Marcos, J. C.; López-Marcos, M. A.
2014
Steady state stability analysis of a Chagas disease model. Zbl 1368.92169
Coffield, Daniel J. jun.; Spagnuolo, Anna Maria
2014
Backward bifurcation in SIVS model with immigration of non-infectives. Zbl 1368.92180
Knipl, Diána H.; Röst, Gergely
2013
Impact of perfect drug adherence on immunopathogenic mechanism for dynamical system of psoriasis. Zbl 1368.92085
Roy, Priti Kumar; Datta, Abhirup
2013
On some multipoint methods arising from optimal in the sense of Kung-Traub algorithms. Zbl 1368.65071
Kyurkchiev, Nikolay; Iliev, Anton
2013
Multiscale analysis of ionic transport in periodic charged media. Zbl 1368.92022
Timofte, Claudia
2013
Quantitative structure-activity relationships: linear regression modelling and validation strategies by example. Zbl 1368.92009
Bolboacă, Sorana D.; Jäntschi, Lorentz
2013
Dynamical analysis of the MicroRNA-mediated protein translation process. Zbl 1368.92055
Jordanov, Ivan; Nikolova, Elena; Vitanov, Nikolay
2013
A patchy model for Chikungunya-like diseases. Zbl 1368.92166
Bowong, Samuel; Dumont, Yves; Tewa, Jean Jules
2013
The algebraic structure of spaces of intervals. Contribution of Svetoslav Markov to interval analysis and its applications. Zbl 1368.01031
Anguelov, Roumen
2013
The linear space of Hausdorff continuous interval functions. Zbl 1368.46026
van der Walt, Jan Harm
2013
Mathematical and numerical analysis of a modified Keller-Segel model with general diffusive tensors. Zbl 1368.92031
Chamoun, Georges; Saad, Mazen; Talhouk, Raafat
2013
A class of mathematical models describing processes in spatially heterogeneous biofilm communities. Zbl 1368.92114
Sonner, Stefanie
2013
Stochastic arithmetic as a tool to study the stability of biological models. Zbl 1368.92007
Alt, Rene; Lamotte, Jean-Luc
2013
Cell growth models using reaction schemes: batch cultivation. Zbl 1368.92045
Markov, Svetoslav
2013
Modeling and simulations of mosquito dispersal. The case of Aedes albopiclus. Zbl 1368.92141
Dufaurd, C.; Dumont, Y.
2012
Mathematical problems in the theory of bone poroelasticity. Zbl 1368.92026
2012
Structure of the global attractors in a model for ectoparasite-borne diseases. Zbl 1368.92170
Dénes, Attila; Röst, Gergely
2012
Constructing one-dimensional continuous models from two-dimensional discrete models of medical implants. Zbl 1368.92084
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Tang, Liping
2012
Multiscale analysis of composite structures. Zbl 1368.74010
Timofte, Claudia
2012
Viral dynamic model of antiretroviral therapy including the integrase inhibitor raltegravir in patients with HIV-1. Zbl 1368.92100
Bon, Dimitra; Stephan, Christoph; Keppler, Oliver; Herrmann, Eva
2012
Growth in a turing model of cortical folding. Zbl 1368.92029
Toole, Gregory; Hurdal, Monica K.
2012
An upstream finite volume scheme for a bone healing model. Zbl 1368.92082
Coudière, Yves; Saad, Mazen; Uzureau, Alexandre
2012
Dynamics of an SIS model on homogeneous networks with delayed reduction of contact numbers. Zbl 1368.92185
Liu, Maoxing; Röst, Gergely
2012
Predator-prey model with prey harvesting, holling response function of type III and SIS disease. Zbl 1368.92157
Tewa, Jean Jules; Demasse, Ramses Djidjou; Bowong, Samuel
2012
all top 5

### Cited by 224 Authors

 9 Computers & Mathematics with Applications 6 Mathematical Biosciences 6 Applied Mathematical Modelling 5 Bulletin of Mathematical Biology 5 Mathematical Biosciences and Engineering 5 International Journal of Biomathematics 4 Journal of Mathematical Biology 3 Chaos, Solitons and Fractals 3 Journal of Theoretical Biology 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Meccanica 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Biological Systems 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Computational & Mathematical Methods in Medicine 2 Mathematical Modelling of Natural Phenomena 2 Discontinuity, Nonlinearity, and Complexity 1 Acta Mechanica 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 African Diaspora Journal of Mathematics 1 Journal of Biological Dynamics 1 Mathematics in Computer Science 1 Advances in Differential Equations and Control Processes 1 Sankhyā. Series B 1 Communications in Applied and Industrial Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Mathematical Foundations of Computing