Publications

Journal papers and book chapters (published,accepted):

  • A. Mohapatra, and P. De Leenheer, The Ideal Free Distribution and the Evolution of Partial Migration, accepted for publication in the Journal of Difference Equations and Applications.
  • B. Dalziel, E. Thomann, J. Medlock, and P. De Leenheer, Global analysis of a predator-prey model with variable predator search rate, Journal of Mathematical Biology 81, p. 159-183, 2020 (also arXiv:1906.05960). pdf
  • P. De Leenheer, W. Shen, and A. Zhang, Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats, Nonlinear Analysis: Real World Applications 54, 2020, https://doi.org/10.1016/j.nonrwa.2020.103110 (also arXiv:1906.07881). pdf
  • P. De Leenheer, An elementary proof of a matrix tree theorem for directed graphs, SIAM Review 62-3, p. 729-739, 2020 (also arXiv:1904.12221). pdf
  • B.K. Lynn, and P. De Leenheer, Division of labor in bacterial populations, Mathematical Biosciences 316, 2019, https://doi.org/10.1016/j.mbs.2019.108257. pdf
  • P. De Leenheer, Stability of diffusively coupled linear systems with an invariant cone, Linear Algebra and its Applications 580, p. 396-416, 2019. pdf
  • D.H. Farber, P. De Leenheer, and C.C. Mundt, Dispersal kernels may be scalable: Implications from a plant pathogen, Journal of Biogeography, 2019. https://doi.org/10.1111/jbi.13642. pdf
  • P. De Leenheer, M. Schuster, and H.L. Smith, Strong cooperation or tragedy of the com- mons in the chemostat, Mathematical Biosciences and Engineering, 16(1): 139-149, 2019. DOI: 10.3934/mbe.2019007. pdf
  • H.A. Ohms, A. Mohapatra, D.A. Lytle, and P. De Leenheer, The evolutionary stability of partial migration under different forms of competition, Theoretical Ecology, 2018. https://doi.org/10.1007/s12080-018-0400-5. pdf
  • S. Peckham, E. Waymire, and P. De Leenheer, Critical Thresholds for Eventual Extinction in Randomly Disturbed Population Growth Models, Journal of Mathematical Biology 77, 495-525, 2018. pdf
  • M. Schuster, E. Foxall, D. Finch, H.L. Smith, and P. De Leenheer, Tragedy of the Commons in the Chemostat, PLoS ONE 12(12): e0186119, 2017. pdf , S1-pdf , S2-pdf , S3-pdf (also available on arXiv:1705.07214, pdf and biorXiv doi: http://dx.doi.org/10.1101/140400, pdf ).
  • L. McMullen, P. De Leenheer, J. Tonkin, and D.A. Lytle, High mortality and enhanced recovery: modeling the countervailing effects of disturbance on population dynamics, Ecology Letters 20: 1566-1575, 2017. pdf
  • A.V. Ratushny, P. De Leenheer, S.I. Bazhan, G.A. Bocharov, T.M. Khlebodarova, and V.A. Likhoshvai, On the potential for multiscale oscillatory behavior in HIV, Chapter 34 In P. Shapshak et al. (eds.), Global Virology II – HIV and NeuroAIDS, Springer, 2017. pdf
  • P. De Leenheer, A. Mohapatra, H.A. Ohms, D.A. Lytle, and J.M. Cushing, The Puzzle of Partial Migration: Adaptive Dynamics and Evolutionary Game Theory perspectives, Journal of Theoretical Biology 412, p.172-185, 2017. pdf
  • N.W. Ruktanonchai, D.L. Smith, and P. De Leenheer, Parasite sources and sinks in a patched Ross-Macdonald malaria model with human and mosquito movement: implications for control, Mathematical Biosciences 279, p.90-101, 2016. pdf
  • S.S. Pilyugin, J. Medlock, and P. De Leenheer, P., The effectiveness of marine protected areas for predator and prey with varying mobility, Theoretical population Biology 110, p.63-77, 2016. pdf
  • J. Sun, J.D. Todd, J.C. Thrash, Y. Qian, M.C. Qian, B. Temperton, J. Guo, E.K. Fowler, J. Aldrich, C.D. Nicora, M.S. Lipton, R.D. Smith, P. De Leenheer, S.H. Payne, A.W.B. Johnston, C.L. Davie-Martin, K.H. Halsey, and S.J. Giovannoni, The abundant marine bacterium Pelagibacter simultaneously catabolizes dimethylsulfoniopropionate to the gases dimethyl sulfide and methanethiol, Nature Microbiology Article number: 16065 (2016), doi:10.1038/nmicrobiol.2016.65 . pdf
  • N.W., Ruktanonchai, P. De Leenheer, A.J.Tatem, V.A. Alegana, T.T. Caughlin, E. zu Erbach-Schoenberg, C. Lourenco, C.W. Ruktanonchai, and D.L. Smith, Identifying Malaria Transmission Foci for Elimination Using Human Mobility Data, PLOS Computational Biology (2016), http://dx.doi.org/10.1371/journal.pcbi.1004846 . pdf
  • H. Youn, P. De Leenheer, and V. Tremblay, Output diffusion of the monopolist over time and space, Journal of Optimization Theory and Applications 169, p. 290-298, 2016. pdf
  • A. Mohapatra, H.A. Ohms, D.A. Lytle, and P. De Leenheer, Population models with partial migration, Journal of Difference Equations and Applications, 2, p. 316-329, 2016. pdf
  • R. A. Ray, J.D. Alexander, P. De Leenheer, and J.L. Bartholomew, Modeling the Effects of Climate Change on Disease Severity: A Case Study of {\it Ceratonova} ({\it syn Ceratomyxa}) {\it shasta} in the Klamath River, In B. Okamura et al. (eds.), Myxozoan Evolution, Ecology and Development, 363-378, 2015. pdf
  • J. Langebrake, G.E. Dilanji, S.J. Hagen, P. De Leenheer, Traveling waves in response to a diffusing quorum sensing signal in spatially-extended bacterial colonies, Journal of Theoretical Biology 363, 5361, 2014. pdf .
  • P. De Leenheer, Optimal placement of Marine Protected Areas: a trade-off between fisheries goals and conservation efforts, IEEE Transactions on Automatic Control 59 (6), 2014. pdf . (Extended version with more detailed proofs in arxiv-version )
  • H. Pourbashash, S.S. Pilyugin, C. McCluskey, and P. De Leenheer, Global analysis of within host virus models with cell-to-cell viral transmission, Discrete and Continuous Dynamical Systems-B 19, 3341-3378, 2014. pdf .
  • P. De Leenheer, J. Gopalakrishnan, and E. Zuhr, Nonnegativity of exact and numerical solutions of some chemotactic models, Computers & Mathematics with Applications 66 (3), 356-375, 2013 pdf .
  • V. Traag, and P. Van Dooren, and P. De Leenheer, Dynamical models explaining social balance and evolution of cooperation, PLOS ONE 8 (4), April 2013 pdf (older arvix version: arXiv:1207.6588v1, pdf ).
  • P. De Leenheer, J. Gopalakrishnan, and E. Zuhr, Instability in a generalized Keller-Segel model, Journal of Biological Dynamics 6 (2), 974-991, 2012 pdf .
  • G. E. Dilanji, J.B. Langebrake, P. De Leenheer, and S.J. Hagen, Quorum activation at a distance: spatiotemporal patterns of gene regulation from diffusion of an autoinducer signal, Journal of the American Chemical Society 134 (12), 5618-5626, 2012 pdf .
  • J. Langebrake, L. Riotte-Lambert, C.W. Osenberg, and P. De Leenheer, Differential movement and movement bias models for Marine Protected Areas, Journal of Mathematical Biology 64, 667-696, 2012 pdf .
  • S.M. Ciupe, P. De Leenheer, and T.B. Kepler, Paradoxical suppression of broadly neutralizing antibodies in the presence of strain specific antibodies during HIV infection, Journal of Theoretical Biology 77 (1), 55-66, 2011 pdf .
  • D. Angeli, P. De Leenheer and E.D. Sontag, Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws, SIAM Journal of Applied Mathematics 71 (1), 128-146, 2011 pdf .
  • P. De Leenheer, J. Dockery, T. Gedeon, and S.S. Pilyugin, The chemostat with lateral gene transfer, Journal of Biological Dynamics 4 (6), 607-620, 2010 pdf .
  • D. Angeli, P. De Leenheer and E.D. Sontag, Graph-theoretic characterizations of monotonicity of biochemical networks in reaction coordinates, Journal of Mathematical Biology 61 (4), 581-616, 2010 pdf .
  • P. De Leenheer, J. Dockery, T. Gedeon, and S.S. Pilyugin, Senescence and antibiotic resistance in an age-structured population model, Journal of Mathematical Biology 61 (4), 475-499, 2010 pdf .
  • L. Wang, P. De Leenheer, and E.D. Sontag, Conditions for Global Stability of Monotone Tridiagonal Systems with Negative Feedback, Systems and Control Letters 59 (2), 130-138, 2010 pdf .
  • P. De Leenheer and N.C. Cogan, Failure of antibiotic treatment in microbial populations, Journal of Mathematical Biology 59 (4), 563-579, 2009 pdf (also arXiv:0807.1943)
  • P. De Leenheer, Within-host virus models with periodic antiretroviral therapy, Bulletin of Mathematical Biology 71, 189-210, 2009 pdf (also arXiv:0801.4384v1).
  • D. Angeli, P. De Leenheer and E.D. Sontag, Chemical networks with inflows and outflows: A positive linear differential inclusions approach, Biotechnology Progress 25 (3), 632-642, 2009 pdf .
  • A. Ackleh and P. De Leenheer, Discrete three-stage population model: persistence and global stability results, Journal of Biological Dynamics, 2 (4), 415-427. 2008 pdf .
  • P. De Leenheer and S.S. Pilyugin, Multi-strain virus dynamics with mutations: a global analysis, Mathematical Medicine and Biology 25 (4), pp 285-322, 2008 pdf (also arXiv:0707.4501/).
  • P. De Leenheer and S.S. Pilyugin, Immune response to a malaria infection: Properties of a mathematical model (also arXiv:0707.4497/ pdf ), Journal of Biological Dynamics, 2 (2), pp 102-120, 2008.
  • W.S. Keeran, P. De Leenheer and S.S. Pilyugin, Feedback-mediated coexistence and oscillations in the chemostat, Discrete and Continuous Dynamical Systems-B, 9 (2), pp 321-351, 2008. pdf .
  • D. Angeli, P. De Leenheer and E.D. Sontag, A Petri net approach to the study of persistence in chemical reaction networks, Mathematical Biosciences, 210 (2), pp 598-618, 2007. pdf (also arXiv:q-bio.MN/0608019 v2)
  • D. Angeli, P. De Leenheer and E.D. Sontag, A Petri net approach to persistence analysis in chemical reaction networks, Lecture Notes in Control and Information Sciences, 357, pp 181-316, 2007. pdf
  • P. De Leenheer, D. Angeli and E.D. Sontag, Monotone chemical reaction networks, Journal of Mathematical Chemistry, 41 (3), pp 295-314, 2007. pdf
  • W.S. Keeran, P. De Leenheer and S.S. Pilyugin, Circular and elliptic orbits in a feedback-mediated chemostat, Discrete and Continuous Dynamical Systems-B, 7, pp 779-792, 2007. pdf
  • F. Mazenc, M. Malisoff and P. De Leenheer, On the stability of periodic solutions in the perturbed chemostat, Mathematical Biosciences and Engineering, 4, pp 319-338, 2007. pdf
  • P. De Leenheer, and S.S. Pilyugin, Feedback-mediated oscillatory coexistence in the chemostat, Lecture Notes in Control and Information Sciences, 341, pp 97-104, 2006. pdf
  • P. De Leenheer, D. Angeli and E.D. Sontag, Crowding effects promote coexistence in the chemostat, Journal of Mathematical Analysis and Applications 319 (1), pp 48-60, 2006. pdf
  • P. De Leenheer, S.A. Levin, E.D. Sontag and C.A. Klausmeier, Global stability in a chemostat with multiple nutrients, Journal of Mathematical Biology 52 (4), pp 419-438 (2006). pdf
  • P. De Leenheer and M. Malisoff, A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics, IEEE Transactions on Automatic Control 41 (2), pp 287-292, 2006. pdf
  • P. De Leenheer, B. Li, H.L. Smith, Competition in the chemostat: some remarks, Canadian Applied Mathematics Quarterly, 11 (3), pp 229-248, 2003. pdf
  • P. De Leenheer, D. Angeli and E.D. Sontag, On predator-prey systems and small gain theorems, Mathematical Biosciences and Engineering, 2, pp 25-42, 2005. pdf
  • D. Angeli, P. De Leenheer and E.D. Sontag, A small-gain theorem for almost global convergence of monotone systems, Systems and Control Letters, 52 (5), pp 407-414, 2004. pdf
  • P. De Leenheer, D. Angeli and E.D. Sontag, A feedback perspective for chemostat models with crowding effects, Lecture Notes in Control and Information Sciences, 294, pp 167-174, 2003. pdf
  • P. De Leenheer, D. Angeli and E.D. Sontag, Small-gain theorems for predator-prey systems, Lecture Notes in Control and Information Sciences, 294, pp 191-198, 2003. pdf
  • P. De Leenheer and H.L. Smith, Virus dynamics: a global analysis, SIAM Journal on Applied Mathematics, 63 (4), pp 1313-1327, 2003. pdf
  • P. De Leenheer and H.L. Smith, Feedback control for chemostat models, Journal of Mathematical Biology, 46 (1), pp 48-70, 2003. pdf
  • P. De Leenheer and D. Aeyels, Stabilization of positive systems with first integrals, Automatica, 38 (9), pp 1583-1589, 2002. pdf
  • D. Aeyels and P. De Leenheer, Extension of the Perron-Frobenius Theorem to homogeneous systems, SIAM Journal on Control and Optimization, 41 (2), pp 563-582, 2002. pdf
  • P. De Leenheer and D. Aeyels, Stabilization of positive linear systems, Systems and Control Letters, 44 (4), pp 259-271, 2001. pdf
  • P. De Leenheer and D. Aeyels, Stability properties of equilibria of classes of cooperative systems, IEEE Transactions on Automatic Control, 46 (12), pp 1996-2001, 2001. pdf

For submitted journal papers, conference proceedings papers, reports, etc, see CV.

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