Abstract The majority of studies on environmental change focus the response single species and neglect fundamental biotic interactions, such as mutualism, competition, predation, parasitism, which complicate patterns persistence. Under global warming, disruption community interactions can arise when differ in their sensitivity to rising temperature, leading mismatched phenologies and/or dispersal patterns. To study persistence under climate change, it is critical consider ecology evolution...

In order to evaluate the effects of inducible defences on community stability and persistence, we analyzed models bitrophic tritrophic food chains that incorporate consumer‐induced polymorphisms. These predict intra‐specific heterogeneity in defence levels resolves paradox enrichment for a range top‐down affect consumer death rates all possible primary productivity. We show analytically this can be understood terms differences handling times different prey types. Our predictions still hold...

Resource edibility is a crucial factor in ecological theory on the relative importance of bottom-up and top-down control. Current explains trophic structure terms abundance succession edible inedible species across gradients primary productivity. We argue that this explanation incomplete owing to its focus inedibility assumption plants herbivores have fixed defense levels. Consumer-induced defenses are an important source variation vulnerability prey prevalent natural communities. Such...

Basic models suitable to explain the epidemiology of dengue fever have previously shown possibility deterministically chaotic attractors, which might observed fluctuations found in empiric outbreak data. However, region bifurcations and chaos require strong enhanced infectivity on secondary infection, motivated by experimental findings antibody-dependent-enhancement. Including temporary cross-immunity such models, is common knowledge among field researchers dengue, we find up attractors much...

Dominance of free-floating plants poses a threat to biodiversity in many freshwater ecosystems. Here we propose theoretical framework understand this dominance, by modeling the competition for light and nutrients layered community floating submerged plants. The model shows that at high supply nutrients, always dominate due their primacy light, even when have lower minimal resource requirements. also floating-plant dominance cannot be an alternative stable state light-limited environments but...

In recent years, the population dynamics of plankton in light‐ or nutrient‐limited environments have been studied extensively. Their evolutionary dynamics, however, received much less attention. Here, we used a modeling approach to study behavior living mixed water column. Initially, organisms are mixotrophic and thus both autotrophic heterotrophic abilities. Through evolution their trophic preferences, they can specialize into separate autotrophs heterotrophs. It was found that light...

In this paper we investigate long-term dynamics of the most basic model for stage-structured populations, in which per capita transition from juvenile into adult class is density dependent. The represented by an autonomous system two nonlinear differential equations with four parameters a single population. We find that interaction intra-adult competition and intra-juvenile gives rise to multiple attractors, one can be oscillatory. A detailed numerical study reveals rich bifurcation...

We revisit the parameter estimation framework for population biological dynamical systems, and apply it to calibrate various models in epidemiology with empirical time series, namely influenza dengue fever. When comes more complex such as multi-strain dynamics describe virus–host interaction fever, even most recently developed techniques, maximum likelihood iterated filtering, reach their computational limits. However, first results of data on fever from Thailand indicate a subtle interplay...

Oscillations are widely distributed in nature and synchronization of oscillators has been described at the cellular level (e.g. heart cells) population fireflies). Yeast glycolysis is best known oscillatory system, although it studied almost exclusively (i.e. limited to observations average behaviour synchronized cultures). We individual yeast cells that were positioned with optical tweezers a microfluidic chamber determine precise conditions for autonomous glycolytic oscillations. Hopf...

Modeling insights for epidemiological scenarios characterized by chaotic dynamics have been largely unexplored. A rigorous analysis of such systems are essential a real predictive power and more accurate disease control decision making. Motivated dengue fever epidemiology, we study basic SIR–SIR type model the host population, capturing differences between primary secondary infections. This is minimalistic version to previously suggested multi-strain models in which deterministic chaos was...

The currently high sludge production and increasing processing costs call for waste-water treatment plants with purification efficiency low biomass production. We studied the latter issue through two-stage chemostat cascades to assess overall reduction due ciliate grazing. bacteria were cultured in first whereas ciliates, grazing on from chemostat, second chemostat. Mathematical modelling was used describe bacteria/ciliate dynamics some of growth parameters fitted. In 22-44% carbon...

Metabolism, and thus population dynamics, can be limited by energy, carbon, nitrogen, and/or other nutrients. This is due to homeostasis, the relatively constant composition of biomass. Yet growth-rate-dependent changes in biomass do exist. The dynamic energy budget (DEB) theory provides framework deal with these simultaneous limitations stoichiometric restrictions. We illustrate application three examples. First, we discuss simple single-species growth a chemolithoautotroph interactions...