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1

Modelling Vector Transmission and Epidemiology of Co-Infecting Plant Viruses

Allen, Linda J. S., Bokil, Vrushali A., Cunniffe, Nik J., Hamelin, Frédéric M., Hilker, Frank M., Jeger, Michael J.

Journal:

Year:

2019

Language:

english

File:

PDF, 2.65 MB

english, 2019

2

Strange Periodic Attractors in a Prey-Predator System with Infected Prey

HILKER, FRANK M., MALCHOW, HORST

Journal:

Mathematical Population Studies

Year:

2006

Language:

english

File:

PDF, 2.00 MB

english, 2006

3

A spatially stochastic epidemic model with partial immunization shows in mean field approximation the reinfection threshold

Stollenwerk, Nico, van Noort, Sander, Martins, José, Aguiar, Maíra, Hilker, Frank, Pinto, Alberto, Gomes, Gabriela

Journal:

Journal of Biological Dynamics

Year:

2010

Language:

english

File:

PDF, 552 KB

english, 2010

4

Comparison between best-response dynamics and replicator dynamics in a social-ecological model of lake eutrophication

Sun, T. Anthony, Hilker, Frank M.

Journal:

Journal of Theoretical Biology

Year:

2021

File:

PDF, 1.22 MB

2021

5

Disease-induced stabilization of predator–prey oscillations

Frank M. Hilker, Kirsten Schmitz

Journal:

Journal of Theoretical Biology

Year:

2008

Language:

english

File:

PDF, 494 KB

english, 2008

6

Chemotaxonomy of the pantropical genus Merremia (Convolvulaceae) based on the distribution of tropane alkaloids

Kristina Jenett-Siems, Robert Weigl, Anke Böhm, Petra Mann, Britta Tofern-Reblin, Sonja C. Ott, Azar Ghomian, Maki Kaloga, Karsten Siems, Ludger Witte, Monika Hilker, Frank Müller, Eckart Eich

Journal:

Year:

2005

Language:

english

File:

PDF, 302 KB

english, 2005

7

Patterns of Patchy Spread in Deterministic and Stochastic Models of Biological Invasion and Biological Control

Sergei V. Petrovskii, Horst Malchow, Frank M. Hilker, Ezio Venturino

Journal:

Biological Invasions

Year:

2005

Language:

english

File:

PDF, 1.40 MB

english, 2005

8

Experimental demonstration of chaos in a microbial food web

Becks, Lutz, Hilker, Frank M., Malchow, Horst, Jürgens, Klaus, Arndt, Hartmut

Journal:

Year:

2005

Language:

english

File:

PDF, 315 KB

english, 2005

9

Predator–prey oscillations can shift when diseases become endemic

Andrew M. Bate, Frank M. Hilker

Journal:

Journal of Theoretical Biology

Year:

2013

Language:

english

File:

PDF, 698 KB

english, 2013

10

Stabilizing Populations with Adaptive Limiters: Prospects and Fallacies

Franco, Daniel, Hilker, Frank M.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2014

Language:

english

File:

PDF, 1.02 MB

english, 2014

11

TESTING FUNDAMENTAL PHYSICS WITH DISTANT STAR CLUSTERS: ANALYSIS OF OBSERVATIONAL DATA ON PALOMAR 14, ,

Jordi, K., Grebel, E. K., Hilker, M., Baumgardt, H., Frank, M., Kroupa, P., Haghi, H., Côté, P., Djorgovski, S. G.

Journal:

The Astronomical Journal

Year:

2009

Language:

english

File:

PDF, 640 KB

english, 2009

12

The Fokker–Planck law of diffusion and pattern formation in heterogeneous environments

Bengfort, Michael, Malchow, Horst, Hilker, Frank M.

Journal:

Journal of Mathematical Biology

Year:

2016

Language:

english

File:

PDF, 922 KB

english, 2016

13

Fish disease dynamics in changing rivers: Salmonid Ceratomyxosis in the Klamath River

Schakau, Vanessa, Hilker, Frank M., Lewis, Mark A.

Journal:

Ecological Complexity

Year:

2019

File:

PDF, 2.14 MB

2019

14

Erratum to ‘Hydra effect and paradox of enrichment in discrete-time predator-prey models’ [Mathematical Biosciences Volume 310, April 2019, Pages 120–127]

Weide, Vinicius, Varriale, Maria C., Hilker, Frank M.

Journal:

Mathematical Biosciences

Year:

2019

Language:

english

File:

PDF, 264 KB

english, 2019

15

Enhancing population stability with combined adaptive limiter control and finding the optimal harvesting–restocking balance

Segura, Juan, Hilker, Frank M., Franco, Daniel

Journal:

Theoretical Population Biology

Year:

2019

Language:

english

File:

PDF, 1.21 MB

english, 2019

16

Separate seasons of infection and reproduction can lead to multi-year population cycles

Hilker, Frank M., Anthony Sun, T., Allen, Linda J.S., Hamelin, Frédéric M.

Journal:

Journal of Theoretical Biology

Year:

2020

Language:

english

File:

PDF, 6.25 MB

english, 2020

17

Degenerate Period Adding Bifurcation Structure of One-Dimensional Bimodal Piecewise Linear Maps

Segura, Juan, Hilker, Frank M., Franco, Daniel

Journal:

SIAM Journal on Applied Mathematics

Year:

2020

File:

PDF, 8.59 MB

2020

18

Triggering crashes in chaotic dynamics

Frank M. Hilker, Frank H. Westerhoff

Journal:

Physics Letters A

Year:

2007

Language:

english

File:

PDF, 212 KB

english, 2007

19

Ipangulines and minalobines, chemotaxonomic markers of the infrageneric Ipomoea taxon subgenus Quamoclit, section Mina

Kristina Jenett-Siems, Sonja C. Ott, Thomas Schimming, Karsten Siems, Frank Müller, Monika Hilker, Ludger Witte, Thomas Hartmann, Daniel F. Austin, Eckart Eich

Journal:

Year:

2005

Language:

english

File:

PDF, 168 KB

english, 2005

20

The hydra effect in predator–prey models

Michael Sieber, Frank M. Hilker

Journal:

Journal of Mathematical Biology

Year:

2012

Language:

english

File:

PDF, 353 KB

english, 2012

21

Pathogens can Slow Down or Reverse Invasion Fronts of their Hosts

Frank M. Hilker, Mark A. Lewis, Hiromi Seno, Michel Langlais, Horst Malchow

Journal:

Biological Invasions

Year:

2005

Language:

english

File:

PDF, 464 KB

english, 2005

22

Modelling Disease Introduction as Biological Control of

Nuno M. Oliveira, Frank M. Hilker

Journal:

Bulletin of Mathematical Biology

Year:

2010

Language:

english

File:

PDF, 515 KB

english, 2010

23

Predator–prey systems in streams and rivers

Frank M. Hilker, Mark A. Lewis

Journal:

Theoretical Ecology

Year:

2010

Language:

english

File:

PDF, 518 KB

english, 2010

24

Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions

M. Gabriela M. Gomes, Paula Rodrigues, Frank M. Hilker, Natalia B. Mantilla-Beniers, Marion Muehlen, Ana Cristina Paulo, Graham F. Medley

Journal:

Journal of Theoretical Biology

Year:

2007

Language:

english

File:

PDF, 378 KB

english, 2007

25

Prey, predators, parasites: intraguild predation or simpler community modules in disguise?

Michael Sieber, Frank M. Hilker

Journal:

Journal of Animal Ecology

Year:

2011

Language:

english

File:

PDF, 770 KB

english, 2011

26

Spatially resolved kinematics of an ultracompact dwarf galaxy

M. J. Frank, M. Hilker, S. Mieske, H. Baumgardt, E. K. Grebel, L. Infante

Journal:

Monthly Notices of the Royal Astronomical Society: Letters

Year:

2011

Language:

english

File:

PDF, 3.25 MB

english, 2011

27

Why are metapopulations so rare?

Fronhofer, Emanuel A., Kubisch, Alexander, Hilker, Frank M., Hovestadt, Thomas, Poethke, Hans Joachim

Journal:

Year:

2012

Language:

english

File:

PDF, 3.49 MB

english, 2012

28

Attractiveness of CO2 released by root respiration fades on the background of root exudates

Andreas Reinecke, Frank Müller, Monika Hilker

Journal:

Basic and Applied Ecology

Year:

2008

Language:

english

File:

PDF, 292 KB

english, 2008

29

Parameterizing, evaluating and comparing metapopulation models with data from individual-based simulations

Frank M. Hilker, Martin Hinsch, Hans Joachim Poethke

Journal:

Ecological Modelling

Year:

2006

Language:

english

File:

PDF, 791 KB

english, 2006

30

Rabbits protecting birds: Hypopredation and limitations of hyperpredation

Andrew M. Bate, Frank M. Hilker

Journal:

Journal of Theoretical Biology

Year:

2012

Language:

english

File:

PDF, 991 KB

english, 2012

31

Target-oriented chaos control

Justine Dattani, Jack C.H. Blake, Frank M. Hilker

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 688 KB

english, 2011

32

Nitrate reduction in leaves and roots of young pedunculate oaks (Quercus robur) growing on different nitrate concentrations

Frank M Thomas, Christine Hilker

Journal:

Environmental and Experimental Botany

Year:

2000

Language:

english

File:

PDF, 181 KB

english, 2000

33

The velocity dispersion and mass function of the outer halo globular cluster Palomar 4

Matthias J. Frank, Michael Hilker, Holger Baumgardt, Patrick Côté, Eva K. Grebel, Hosein Haghi, Andreas H. W. Küpper, S. G. Djorgovski

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

2012

Language:

english

File:

PDF, 1.89 MB

english, 2012

34

Directional biases and resource-dependence in dispersal generate spatial patterning in a consumer–producer model

Kurt E. Anderson, Frank M. Hilker, Roger M. Nisbet

Journal:

Ecology Letters

Year:

2012

Language:

english

File:

PDF, 388 KB

english, 2012

35

A diffusive SI model with Allee effect and application to FIV

Frank M. Hilker, Michel Langlais, Sergei V. Petrovskii, Horst Malchow

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 516 KB

english, 2007

36

Switch From Venoarterial Extracorporeal Membrane Oxygenation to Arteriovenous Pumpless Extracorporeal Lung Assist

Bernhard Floerchinger, Alois Philipp, Maik Foltan, Leopold Rupprecht, Alexander Klose, Daniele Camboni, Frank Bruenger, Simon Schopka, Mathias Arlt, Michael Hilker, Christof Schmid

Journal:

The Annals of Thoracic Surgery

Year:

2010

Language:

english

File:

PDF, 546 KB

english, 2010

37

Oscillations and waves in a virally infected plankton system: Part I: The lysogenic stage

Horst Malchow, Frank M. Hilker, Sergei V. Petrovskii, Klaus Brauer

Journal:

Ecological Complexity

Year:

2004

Language:

english

File:

PDF, 624 KB

english, 2004

38

Oscillations and waves in a virally infected plankton system: Part II: Transition from lysogeny to lysis

Frank M. Hilker, Horst Malchow, Michel Langlais, Sergei V. Petrovskii

Journal:

Ecological Complexity

Year:

2006

Language:

english

File:

PDF, 635 KB

english, 2006

39

The Allee Effect and Infectious Diseases: Extinction, Multistability, and the (Dis‐)Appearance of Oscillations.

Hilker, Frank M., Langlais, Michel, Malchow, Horst

Journal:

American Naturalist

Year:

2009

Language:

english

File:

PDF, 672 KB

english, 2009

40

[American Institute of Aeronautics and Astronautics 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition - Orlando, Florida ()] 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition - Validation of the St. Louis University Wind Tunnel for Use by The Boeing Company

Benne, Michael, Dowgwillo, Robert, Hilker, Robert, Ferman, Marty, McVey, Frank

Year:

2009

Language:

english

File:

PDF, 459 KB

english, 2009

41

Disease in group-defending prey can benefit predators

Bate, Andrew M., Hilker, Frank M.

Journal:

Theoretical Ecology

Year:

2014

Language:

english

File:

PDF, 3.46 MB

english, 2014

42

A Mathematical Biologist’s Guide to Absolute and Convective Instability

Sherratt, Jonathan A., Dagbovie, Ayawoa S., Hilker, Frank M.

Journal:

Bulletin of Mathematical Biology

Year:

2014

Language:

english

File:

PDF, 1.10 MB

english, 2014

43

Complex Dynamics in an Eco-epidemiological Model

Bate, Andrew M., Hilker, Frank M.

Journal:

Bulletin of Mathematical Biology

Year:

2013

Language:

english

File:

PDF, 2.59 MB

english, 2013

44

Harvest timing and its population dynamic consequences in a discrete single-species model

Cid, Begoña, Hilker, Frank M., Liz, Eduardo

Journal:

Mathematical Biosciences

Year:

2014

Language:

english

File:

PDF, 1.24 MB

english, 2014

45

Disease-induced modification of prey competition in eco-epidemiological models

Sieber, Michael, Malchow, Horst, Hilker, Frank M.

Journal:

Ecological Complexity

Year:

2014

Language:

english

File:

PDF, 1.06 MB

english, 2014

46

Adaptive limiter control of unimodal population maps

Franco, Daniel, Hilker, Frank M.

Journal:

Journal of Theoretical Biology

Year:

2013

Language:

english

File:

PDF, 1.49 MB

english, 2013

47

Seasonal Invasion Dynamics in a Spatially Heterogeneous River with Fluctuating Flows

Jin, Yu, Hilker, Frank M., Steffler, Peter M., Lewis, Mark A.

Journal:

Bulletin of Mathematical Biology

Year:

2014

Language:

english

File:

PDF, 1.68 MB

english, 2014

48

Harvesting, census timing and “hidden” hydra effects

Hilker, Frank M., Liz, Eduardo

Journal:

Ecological Complexity

Year:

2013

Language:

english

File:

PDF, 2.83 MB

english, 2013

49

Editorial

Hilker, Frank M., Petrovskii, Sergei V.

Journal:

Ecological Complexity

Year:

2013

Language:

english

File:

PDF, 121 KB

english, 2013

50

Soil hypha-mediated movement of allelochemicals: arbuscular mycorrhizae extend the bioactive zone of juglone

Achatz, Michaela, Morris, E. Kathryn, Müller, Frank, Hilker, Monika, Rillig, Matthias C., Field, Katie

Journal:

Functional Ecology

Year:

2014

Language:

english

File:

PDF, 481 KB

english, 2014