Torsten Lindström

Professor

Department of Mathematics Faculty of Technology

torsten.lindstrom@lnu.se

+46 470-70 81 74

I am interested in qualitative analysis of dynamical systems with relevance to ecological modelling. Such dynamical systems can be formulated as differential equations or in discrete time. The dynamical behavior of a large system might be very complex and I am interested in approaching an as a complete as possible understanding of models that I study by combining different methods. I have been teaching at a large number of courses covering several sub-areas of mathematics. In addition to courses strongly linked to my research areas I have taught Advanced Linear Algebra, Stochastic Processes, Multivariate Analysis and almost all mathematics courses at elementary university level.

E-mail address, Urkund (use this address only for degree projects that are finished): tlito.LNU(at)analys.urkund.se

My research groups

Publications

Article in journal (Refereed)

Lindström, T. (2024). On the stochastic engine of contagious diseases in exponentially growing populations. Nonlinear Analysis : Real World Applications. 77.
Status: Published
Olande, O., Lindström, T. (2023). Exploring undergraduate thesis manuscript assessment feedback. The Curriculum Journal. 34 (3). 437-456.
Status: Published
Lindström, T., Cheng, Y., Subhendu, C. (2020). Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments. SIAM Journal on Applied Mathematics. 80 (6). 2338-2364.
Status: Published
Gyllenberg, M., Hanski, I., Lindström, T. (2017). Conditional reproductive strategies under variable environmental conditions. Annales Zoologici Fennici. 54 (1-4). 193-204.
Status: Published
Lindström, T. (2017). Monotone dynamics or not? : Dynamical consequences of various mechanisms for delayed logistic growth. Differential Equations & Applications. 9 (3). 379-382.
Status: Published
Lindström, T. (2017). Problems in relating various tasks and their samplesolutions to Bloom’s taxonomy. The Mathematics Enthusiast. 14 (1-3). 15-28.
Status: Published
Lindström, T., Cheng, Y. (2016). A Rosenzweig-MacArthur (1963) Criterion for the Chemostat. Scientific World Journal.
Status: Published
Lindström, T., Cheng, Y. (2015). Uniqueness of limit cycles for a limiting case of the chemostat : does it justify the use of logistic growth rates?. Electronic Journal of Qualitative Theory of Differential Equations . (47). 1-14.
Status: Published
Nilsson, P., Lindström, T. (2013). Profiling Swedish Teachers' Knowledge Base in Probability. Nordisk matematikkdidaktikk, NOMAD : [Nordic Studies in Mathematics Education]. 18 (4). 51-72.
Status: Published
Lindström, T. (2013). Dynamical properties of maps fitted to data in the noise-free limit. Journal of Biological Dynamics. 7 (S1). 108-116.
Status: Published
Lindström, T., Söderbacka, G. (2011). On the stability-complexity relation for unsaturated semelpareous discrete food-chains. Studies in mathematical sciences. 2 (1). 157-182.
Status: Published
Lindström, T. (2009). Detecting chaos requires careful analysis of nearly periodic data. Chaos, Solitons & Fractals. 42 (1). 212-223.
Status: Published
Lindström, T. (2009). Stability switches in discrete food-chain problems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 19 (9). 3067-3085.
Status: Published
Lindström, T., Thunberg, H. (2008). An elementary approach to dynamics and bifurcations of skew tent maps. Journal of difference equations and applications (Print). 14 (8). 819-833.
Status: Published
Melin, J., Hultgren, A., Lindström, T. (2008). Two types of Limit Cycles of a Resonant Converter modelled by a three-dimensional system. Nonlinear Analysis: Hybrid Systems. 2 (4). 1275-1286.
Status: Published
Fundinger, D., Lindström, T., Osipenko, G. (2007). On the appearance of multiple attractors in discrete food-chains. Applied Mathematics and Computation. 184. 429-444.
Status: Published
Stolte, W., Lindström, T., Granéli, E. (2007). Enhancement of poorly edible phytoplankton by allochthonous dissolved organic material. Aquatic Microbial Ecology. 46. 263-272.
Status: Published
Lindström, T. (2002). On the dynamics of discrete food-chains: Low- and high-frequency behavior and optimality of chaos. Journal of Mathematical Biology, Springer. 45. 396-418.
Status: Published
Lindström, T. (2000). Global Stability of a model for competing predators: An extension of the Ardito & Ricciardi Lyapunov function. Nonlinear Analysis. 39. 793-805.
Status: Published
Lindström, T. (1999). Dependencies between Competition and Predation - and their Consequenses for Initial Value Sensitivity. SIAM Journal of Applied Mathematics. 59(4):1468-1486 (4). 1468-1486.
Status: Published
Gyllenberg, M., Hanski, I., Lindström, T. (1997). Continuous versus discrete single species models with adjustable reproductive strategies. Bulletin of mathematical biology. 59 (4). 679-705.
Status: Published
Gyllenberg, M., Hanski, I., Lindström, T. (1996). A predator-prey model with optimal suppression of reproduction in the prey. Mathematical Biosciences. 139. 119-152.
Status: Published
Lindström, T. (1993). Qualitative analysis of a predator-prey system with limit cycles. Journal of Mathematical Biology. 31. 541-561.
Status: Published

Conference paper (Refereed)

Olande, O., Lindström, T. (2019). Exploring an examiner’s comments to a thesis work in mathematics education. Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education : Pretoria, South Africa, 7 – 12 July 2019. 80-80.
Nilsson, P., Lindström, T. (2012). Connecting Swedish compolsory schoolteachers' content knowledge of probability to their level of education, teaching years and self-assessments of probability concepts. .
Lindström, T. (2009). Recent progress in discrete population dynamics. Nonlinear Analysis 71.
Lindström, T. (2007). Fitting TAR(1) models to Sheperd data. Proc. Appl. Math. Mech. 7.
Lindström, T. (2006). On oral examination techniques when engineering mathematics. CED Utvecklingskonferensen för högre utbildning, Proceedings 2005.
Lindström, T. (2003). Discrete models and Fisher's maximum principle in ecology. Discrete and continuous dynamical systems Expanded volume for the Wilmington Meeting, May 24-27, 2003.
Lindström, T. (2003). On oral examination techniques when teaching engineering mathematics. Nordic Pre-conference to ICME10 at Växjö University, Sweden, May 9-11, 2003.
Lindström, T. (1994). Global stability of a model for competing predators. Marcel Dekker, Inc analysis, algebra, and computers in mathematical research, proceedings of the twenty-first Nordic Congress of mathematicians.

Chapter in book (Refereed)

Lindström, T. (2021). Mathematics and Recurrent Population Outbreaks. Handbook of the Mathematics of the Arts and Sciences. Cham, Springer. 2275-2290.
Lindström, T. (2020). Limit cycles in planar systems of ordinary differential equations. Handbook of the Mathematics in the Arts and the Sciences. Switzerland, Springer. 1-28.
Lindström, T. (2019). Mathematics and Recurrent Population Outbreaks. Handbook of the Mathematics of the Arts and Sciences. Cham, Springer. 2275-2290.

Article in journal (Other academic)

Lindström, T. (1989). A generalized uniqueness theorem for limit cycles in a predator-prey system. Acta Academiae Aboensis. 49 (2). 1-9.
Status: Published

Conference paper (Other academic)

Lindström, T. (2008). Detecting chaos requires careful analysis of periodic data (extended abstract). University of Kalmar 6th International Conference on Technologies from Waste and Wastewater Treatment, Energy from Waste, Remediation of Contaminated Sites, and Emissions Related to Climate.
Lindström, T. (2007). Oral assessment techniques for mathematics teaching that include elements of learning. Växjö University.
Lindström, T., Lindberg, A.M., Nammari, D.R., Stolte, W. (2004). Nonlinear Deterministic modelling of ecological communuities - typical predictions and limitations. Proceedings of ECO-TECH' 03, RFVs UTVECKLINGSSATSNING DEPONERING 2.

Book (Other academic)

Lindström, T. (2022). Med fokus på linjär algebra. Lund, Studentlitteratur AB.
Bacaër, N., Karlsson, C., Lindström, T., Gerlee, P., Lundh, T., et al. (2022). Axplock i den matematiska populationsdynamikens historia. Paris, Nicolas Bacaër.
Lindström, T. (2017). Med fokus på linjär algebra. Lund, Studentlitteratur AB.
Lindström, T. (2014). Med Fokus på Linjär Algebra. Lund, Studentlitteratur AB.
Lindström, T. (2005). Med focus på linjär algebra. Lund, Sweden, Studentlitteratur.

Chapter in book (Other academic)

Lindström, T., Sriraman, B. (2021). Mathematics, Science, and Dynamical Systems : An Introduction. Handbook of the Mathematics of the Arts and Sciences. Springer. 1967-1968.

Doctoral thesis, monograph (Other academic)

Lindström, T. (1995). Why Do Rodent Populations Fluctuate? Stability and Bifurcation Analysis of Some Discrete and Continuous Predator-Prey Models. Doctoral Thesis.

Licentiate thesis, monograph (Other academic) (Other academic)

Lindström, T. (1991). Predator-Prey systems and Applications. Licentiate Thesis. Luleå, Luleå University of Technology.

Report (Other academic)

Lindström, T. (1999). Relations between statistically and mechanistically derived models. University of Oslo.

Article in journal (Other (popular science, discussion, etc.))

Lindström, T. (2020). ”Torsås kommun rakt in i ett eldprov”. Barometern.
Status: Published
Lindström, T., Nilsson, M. (2015). Låt eleverna ta eget ansvar. Smålandsposten.
Status: Published
Lindström, T. (2012). Torsås framtid en valfråga. Barometern OT.
Status: Published
Lindström, T. (2008). Tänk om alla har fel om klimatet. Barometern OT. (20080514).
Status: Published
Lindström, T. (2008). Är profilering den rätta nya skolreligionen?. Barometern-OT. (20080714).
Status: Published
Lindström, T. (2008). Är profilering en ny religion?. Barometern OT. (20080610).
Status: Published
Lindström, T. (2008). Lärarutbildningens utmaningar i längre perspektiv. Barometern OT. (20080502).
Status: Published
Lindström, T. (2008). Risktagande med stora belopp. Barometern-OT. (20081022).
Status: Published
Lindström, T. (2006). Skolor för bättre folks sämre barn?. Barometern OT. 20060901.
Status: Published

Other (Other (popular science, discussion, etc.))

Lindström, T. (2013). Skrivstilen som försvann.
Lindström, T. (2012). Investeringar blir till konsumption. Kalmar, Gota-media.
Lindström, T. (2010). Friskolor - ett hot mot glesbygden.
Lindström, T. (2010). Torsås, Lärarjobben och Avundsjukan.
Lindström, T. (2006). Övningar och MatLab-laborationer till Med fokus på Linjär Algebra.