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Stochastic population dynamics in spatially extended predator–prey systems

Ulrich Dobramysl, Mauro Mobilia, Michel Pleimling, Uwe C Täuber
2018 Journal of Physics A: Mathematical and Theoretical  
Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems.  ...  In spatially extended predator-prey systems, one observes noise-stabilized activity and persistent correlations.  ...  In this review, we chiefly focus our attention on the population dynamics of spatially extended systems.  ... 
doi:10.1088/1751-8121/aa95c7 fatcat:6dkfpf5iq5cwvjhbrap5bquw44

About the Influences of Some Major Biotic Drivers on the Population Dynamics in Host-parasite Systems: Interpretative Lessons from an Extended Nicholson-Bailey Model

Jean Béguinot
2020 Annual Research & Review in Biology  
Population dynamics within host-parasite systems in insects is governed by a series of factors, both endogenous and exogenous.  ...  A brief analysis of the respective influences of each of these five driving parameters on the main features of host-parasite dynamics is derived accordingly, based upon this extended model.  ...  Typical display of three equilibrium phases -S 1 , Os, S 2 -in the interactive dynamics of the host-parasite system.  ... 
doi:10.9734/arrb/2020/v35i830256 fatcat:5lywawqmzjakvicb2jpwalggke

Modified and Extended Logistic Map in Superior Orbit

Anju Yadav, Mamta Rani
2015 Procedia Computer Science  
In this paper, we have studied and analyzed the stability of modified and extended logistic map for describing the dynamics of multi-scaled population (sexual reproduction) in superior orbit.  ...  Rani first time studied superior iterates (i.e. superior orbit) in discrete dynamics and proves that it increases the solution domain of dynamical system.  ...  In this paper, we have implemented a dynamics of system for multi-scaled population in superior orbit i.e. two-step iteration method to increase the convergence range.  ... 
doi:10.1016/j.procs.2015.07.397 fatcat:g4i6ndne5jhyznje6qzx3taml4

Long-term transients help explain regime shifts in consumer-renewable resource systems

Maarten B. Eppinga, Koen Siteur, Mara Baudena, Martin O. Reader, Hanneke van 't Veen, John M. Anderies, Maria J. Santos
2021 Communications Earth & Environment  
Historical reconstructions of island state populations show a variety of transient dynamics that closely corresponds to model expectations based on island differences in productivity and harvesting regime  ...  We conclude that vulnerable social-ecological systems may persist when the population:resource ratio remains within a viable range of intermediate (rather than small) values, which implies that averting  ...  The research of K.S. was supported by the EU Horizon 2020 project MERCES (689518), the National Key R&D Program of China (2017YFC0506001) and the National Natural Science Foundation of China (41676084)  ... 
doi:10.1038/s43247-021-00112-y fatcat:sk46z6qwjnhkxgvdu7sp743bzi

A population game approach for dynamic resource allocation problems

Ashkan Pashaie, Lacra Pavel, Christopher J. Damaren
2016 International Journal of Control  
We consider a water distribution system as an example of resource allocation, and investigate the use of a population game for its control.  ...  We use a game-theoretic approach based on two evolutionary dynamics, the Brown-von Neumann-Nash and the Smith dynamics.  ...  Then, as in (23), we construct the extended game dynamic from the WDS and the extended evolutionary dynamic as Extended Game 1 Dynamic : ⎧ ⎨ ⎩ ẋ 1i = Q( x 2i +x * 2i )−c i x 1i + x * 1 u 1i = ẋ 2i = u  ... 
doi:10.1080/00207179.2016.1231422 fatcat:75sfan7ubrcx3kmp35bjmbskxe

Chaotic Dynamics of Complex Logistic Map in ISuperior Orbit

Shafali Agarwal, Independent Researcher Plano, USA
2020 International Journal of Information Technology and Computer Science  
The experimental result is discussed in terms of convergence point and chaotic range of the given dynamical systems.  ...  The purpose of this paper is to explore the behavior of a multi-scale population model, i.e. modified logistic map (Mod-LM) and chosen population proportion model, i.e. extended logistic map (Ex-LM) in  ...  The system dynamic has extended as β and γ decrease for the same m value. See Table 4. 4.  ... 
doi:10.5815/ijitcs.2020.04.02 fatcat:gpkninzfefhzheu4fbkmj4av4i

Spatially extended populations reproducing logistic map

Witold Dzwinel
2010 Open Physics  
Conversely, the populations forming dynamically changing spatial clusters behave in a different way than the logistic model and reproduce at least the steady-state fragment of the logistic map.  ...  We found the class of "atomistic" rules for which uncorrelated spatially extended population matches the logistic map both for pre-chaotic and chaotic modes.  ...  Acknowledgements This research is financed by the Polish Ministry of Education and Science, Project No.3 T11F 010 30.  ... 
doi:10.2478/s11534-009-0089-6 fatcat:kkjltoxc7bf7ve5gte3ta7uohm

Page 1044 of The Journal of Animal Ecology Vol. 73, Issue 6 [page]

2004 The Journal of Animal Ecology  
In a series of developments, these ideas were extended to illustrate how demographic stochasticity (associated with births and deaths only) can affect colonization in island mainland models of species  ...  More recently, the effects of spatial structure on predator-prey interactions have been extended to assess whether metapopulation processes (local breeding populations, risk of extinction, probability  ... 

Average dynamics of a driven set of globally coupled excitable units

Leandro M. Alonso, Gabriel B. Mindlin
2011 Chaos  
The study of the collective dynamics of a noncompletely synchronized extended system started with the work of Kuramoto, 1 who showed that a large set of sinusoidally coupled phase oscillators could display  ...  We find that low dimensional and yet complex dynamics can be found in the average activity of the array, in a regime presenting a time dependent degree of synchrony.  ...  In Fig. 5 , we show two period 3 solutions of Eq. (14), and its comparison to the extended system of Eq. (2).  ... 
doi:10.1063/1.3574030 pmid:21721744 pmcid:PMC3085534 fatcat:hajhiqpf4fcj7mtm4bxrgdzey4

Spatially Induced Bifurcations in Single-Species Population Dynamics

Jordi Bascompte, Ricard V. Sole
1994 Journal of Animal Ecology  
Using the spatially extended counterpart of these discrete systems by means of the Coupled Map Lattice formalism, we show that space is able to induce dynamical bifurcations. 3.  ...  . & May, R.M. (1992) The spatial dynamics of host-parasitoid systems. Journal of Animal Ecology, 61, 735-748. Czaran, T. & Bartha, S. (1992).  ...  role of space in the dynamics, stability and persistence of populations.  ... 
doi:10.2307/5544 fatcat:e7cykv4fb5e5ba5s6m6wovxybm

Large-scale spatial dynamics of plants: metapopulations, regional ensembles and patchy populations

R. P. Freckleton, A. R. Watkinson
2002 Journal of Ecology  
recolonization; regional ensembles, systems of essentially unconnected local populations persisting in an ill-defined mosaic of suitable and unsuitable habitat; and spatially extended populations, essentially  ...  to patch dynamics within local populations ('metapatch' systems).  ...  Acknowledgements We should like to thank Jonathan Silvertown, James Bullock and Susan Harrison for their comments on an earlier draft of this paper.  ... 
doi:10.1046/j.1365-2745.2002.00692.x fatcat:cvyardpzdjds7mw4liyznizv2y

Page 925 of The Journal of Animal Ecology Vol. 70, Issue 6 [page]

2001 The Journal of Animal Ecology  
In uncoupled populations, the dynamics of these systems relate to the way the parasitoids induce delays in the regulation of the host.  ...  In order to discuss the patterns of synchrony in spa- tially extended trophic systems, we first briefly outline our prototypical model and its dynamics.  ... 

Dipole mediated tunnelling: Robust single-pulse population transfer across dipolar double-well systems

Avijit Datta, Christoph A. Marx, Christoph Uiberacker, Werner Jakubetz
2007 Chemical Physics  
In simulations for model systems with typical molecular parameters, dipole mediated tunnelling is found to be a highly efficient strong-field mechanism of population transfer with remarkable robustness  ...  asymmetric dipolar 3-level lambda-(K-) or N-level extended K-systems.  ...  Acknowledgment This research was supported by the Austrian Science Fund FWF within the framework of the Special Research Program F016 ''ADLIS''.  ... 
doi:10.1016/j.chemphys.2007.03.017 fatcat:7bxodyn73fbxpmid4mcney4zkm

Page 460 of The Journal of Animal Ecology Vol. 72, Issue 3 [page]

2003 The Journal of Animal Ecology  
system, and Hastings (2001) suggested that understanding the dynamics of transients can play a key role in under- standing the structure of natural systems.  ...  Journal of Animal Ecology (2003) 72, 460—467 Introduction The synchrony and spatial correlation of population dynamics has been widely debated since Elton’s study on population cycles in the Canadian lynx  ... 

How often are chaotic transients in spatially extended ecological systems?

Mukeshwar Dhamala, Ying-Cheng Lai, Robert D Holt
2001 Physics Letters A  
Here we investigate how often transient dynamics can be expected in spatially extended ecological systems.  ...  A traditional assumption in quantitative ecology is that the asymptotic state of the model determines what can be observed in the evolution of the system.  ...  Eqs. (1)-(3) represent a spatially extended dynamical system that is discrete in time and continuous in space.  ... 
doi:10.1016/s0375-9601(01)00069-x fatcat:vnvkws7zwndjbnqbtfwydooyoa
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