Biomathematics. The Principles of Mathematics for Students of Biological Science
In: Population: revue bimestrielle de l'Institut National d'Etudes Démographiques. French edition, Band 10, Heft 2, S. 369
ISSN: 0718-6568, 1957-7966
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In: Population: revue bimestrielle de l'Institut National d'Etudes Démographiques. French edition, Band 10, Heft 2, S. 369
ISSN: 0718-6568, 1957-7966
In: Population: revue bimestrielle de l'Institut National d'Etudes Démographiques. French edition, Band 10, Heft 2, S. 369-369
ISSN: 0718-6568, 1957-7966
In: Springer eBooks
In: Mathematics and Statistics
In: Springer eBook Collection
Mathematical modeling of Thrombin generation and wave propagation: From simple to complex models and backwards -- Optimal control of delayed Hepatitis B viral infection model with DNA-Containing capsids and cure rate -- Dynamics of a generalized model for Ebola virus disease -- Bifurcations in a mathematical model for study of the human population and natural resource exploitation -- Mathematical analysis of the dynamics of HIV infection with CTL immune response and cure rate -- Qualitative analysis of a PDE model of Telomere loss in a proliferating cell population in the light of suns and stars -- The threshold of a stochastic SiQR epidemic model with Lvy jumps -- Global dynamics of a generalized Chikungunya virus -- Differential game model for sustainability of multi-fishery -- Towards a thermostatistics of the evolution of protein domains through the formation of Families and Clans -- Analysis of Tumor/Effector cell dynamics and decision support in therapy -- Optimal control of an HIV infection model with logistic growth, CTL immune response and infected cells in eclipse phase -- Khinchin-Shannon generalized inequalities for non-additive entropy measures -- Application of the Markov chains in the prediction of the mortality rates in the generalized stochastic Milevsky-Promislov model -- Modelling the role of vector transmission of Aphid Bacterial Endosymbionts and the protection against parasitoid wasps -- The incorporation of fractal kinetics in the PK modeling of chemotherapeutic drugs with non-linear concentration time profiles -- Mathematical modeling of inflammatory processes -- Modeling the memory and adaptive immunity in viral infection -- Optimal temporary vaccination strategies for epidemic outbreaks -- On the reproduction number of epidemics with sub-exponential growth -- Numerical simulations for cardiac electrophysiology problems -- Hopf bifurcations in a delayed herd harvesting model and herbivory optimization hypothesis -- A fractional order model for HBV infection with capsids and cure rate -- Modelling anaerobic digestion using stochastic approaches -- Alzheimer disease: Convergence result from a discrete Model towards a continuous one
In: EFSA journal, Band 17
ISSN: 1831-4732
In: Lecture Notes in Biomathematics 54
In: Springer eBook Collection
I Autecology -- On the phenotypic plasticity of leaf photosynthetic capacity -- A model of optimal thermoregulation during gestation -- Holling's 'hungry mantid' model for the invertebrate functional response considered as a Markov process. Part 0: A survey of the main ideas and results -- The effect of competition on the flowering time of annual plants -- Evolutionarily stable strategies for larval dragonflies -- II Population Biology -- The storage effect in stochastic population models -- The stable size distribution: an example in structured population dynamics -- "Stage-structure" models of uniform larval competition -- Simple models for age dependent predation -- A model of naticid gastropod predator-prey co-evolution -- A theoretical model for the coevolution of a host and its parasite -- III Community and Ecosystem Theory -- Particle size spectra in ecology -- Species-abundance relation and diversity -- A competition model with age structure -- Stability vs. complexity in model competition communities -- Persistence in food webs -- The structure of cycling in the Ythan Estuary -- IV Applications: Fisheries -- Constant yield harvesting of population systems -- Estimating the response of populations to exploitation from catch and effort data -- Bioeconomics and the management of tuna stocks in the eastern tropical Atlantic -- The multispecies fisheries problem: A case study of Georges Bank -- The legacy of Beverton and Holt -- V Applications: Epidemiology -- Eradication strategies for virus infections -- Models for a class of man-environment epidemic diseases -- Mathematical models of vertical transmission of infection -- Integral equations for infections with discrete parasites: Hosts with Lotka birth law -- VI The Dynamics of Movement: Diffusion Models -- Predator-prey dynamics in spatially structured populations: manipulating dispersal in a coccinellid-aphid interaction -- Oceanic turbulent diffusion of abiotic and biotic species -- Taxes in cellular ecology -- Nonlinear diffusion problems in age-structured population dynamics -- A mathematical model of population dynamics involving diffusion and resources -- VII Spatial Pattern and Diffusion Models -- Critical patch size for plankton and patchiness -- Spatial distribution of rapidly dispersing animals in heterogeneous environments -- Spatial distribution of competing species -- Space structures of some migrating populations.
In: Lecture Notes in Biomathematics 77
In: Springer eBook Collection
Pattern, Scale, and Variability: An Ecological Perspective -- Planktonic Micro—Communities in the Sea: biofluid mechanical view -- When Should You Include Age Structure -- Spatial Aspects of Species Interactions: the Wedding of Models and Experiments -- Interactions Between Environment and Competition: How Fluctuations Mediate Coexistence and Competitive Exclusion -- Untangling 'An Entangled Bank': Recent Facts and Theories About Community Food Webs -- The Geometry of Niches -- The Dynamics of Highly Aggregated Models of Whole Communities.
In: EFSA journal, Band 18
ISSN: 1831-4732
In: Lecture notes in biomathematics 85
In: Lecture notes in biomathematics 72
In: Lecture Notes in Biomathematics 60
In: Springer eBook Collection
I Tree Breeding -- invited guest lecture: The Population Genetic Basis of Breeding Theory -- Hybridisation and Cytogenetics of European Birches -- II Mating Systems -- invited guest lecture: Mating System Estimation in Forest Trees: Models, Methods and Meanings -- invited guest lecture: Understanding the Genetic Structure of Plant Populations: Some Old Problems and a New Approach -- invited guest lecture: Inbreeding and Selection in Natural Populations -- Polymorphic Equilibria Under Inbreeding Effects and Selection on Components of Reproduction -- Mating System Dynamics in a Scots Pine Seed Orchard -- Reproductive Success of Genotypes of Pinus sylves-tris L. in Different Environments -- Multilocus Analysis of External Pollen Contamination of a Scots Pine (Pinus sylvestris L.) Seed Orchard -- Gene Dispersion and Selfing Frequency in a Seed-Tree Stand of Pinus sylvestris (L.) 1 -- invited guest lecture: Genetic Constraints on the Evolution of Plant Reproductive Systems -- invited guest lecture: Evolution of Outbreeding Systems -- III Genetic Differentiation Within and Between Populations -- The Effects of Forest Management on the Genetic Variability of Plant Species in the Herb Layer -- Studies on Breeding Structure in Two Tropical Tree Species -- A Multilocus Study of Natural Populations of Pinus sylvestris -- Genetic Effects of Scots Pine (Pinus sylvestris L.) Domestication -- Genetic Differentiation Among Scots Pine Populations From the Lowlands and the Mountains in Poland -- Effects of Selection Pressure by SO2 Pollution on Genetic Structures of Norway Spruce (Picea abies) -- Measurement of Genetic Differentiation in Plant Populations -- List of contributors.
In: Advances in Experimental Medicine and Biology Ser. v.1333
Intro -- Preface -- Contents -- 1 Review of Size Estimation Methods -- 1.1 The Importance of Population Size Estimation for Key Groups in the Context of HIV -- 1.2 Direct Population Size Estimation Methods -- 1.2.1 Population-Based Surveys -- 1.2.2 Census/Enumeration Method -- 1.2.3 Nomination Method -- 1.2.4 Capture-Recapture Method -- 1.2.5 Multiplier Method -- 1.3 Indirect Population Size Estimation Methods -- 1.3.1 Cross-Wise Method -- 1.3.2 Network Scale-up Method -- 1.3.3 Proxy Respondent Method -- 1.4 Advantages of Network Scale-up Over Other Size Estimation Methods -- 1.5 Requirements of Network Scale-up -- 1.5.1 Network Size -- 1.5.2 Preliminary Size Estimation -- 1.5.3 Correction Factors -- References -- 2 Methods to Estimate the Average Social Network Size -- 2.1 Introduction -- 2.2 Direct Estimation of C -- 2.2.1 Global Method -- 2.2.2 Summation Method -- 2.3 Indirect Estimation of C: Reference Groups Approach -- 2.3.1 Incorporating Multiple Reference Groups -- 2.3.1.2 Means of Sums Estimator -- 2.4 Considerations in Selecting Appropriate Reference Groups -- 2.4.1 Visibility -- 2.4.2 Barrier Effect -- 2.4.3 Cognitive Error -- 2.4.4 Attractiveness Bias -- 2.4.5 Racal Bias -- 2.4.6 Conclusion -- 2.5 Calibration of Calculated Average Social Network Size -- 2.6 Which Factors Affects Average Network Size? -- 2.6.1 Summation versus Traditional Reference Group Method -- 2.6.2 Missing Data -- 2.6.3 Joint Effect of Estimator, Definition of Ratio, and Its Tolerable Range -- 2.6.4 Joint Effect of Estimator, Missing Data, and Calibration -- 2.6.5 Digit Preference -- 2.6.6 Effect of Type of Network Size and Geographical Zone -- 2.6.7 Conclusion -- 2.7 Network Size Variation at the Subnational Level -- 2.8 Aggregation of Different Estimates -- 2.9 Effect of Demographic Characteristics on Network Size -- 2.9.1 Conclusion.
The Rowett Institute and Biomathematics and Statistics Scotland are grateful to the Scottish Government for funding this work. We thank the Rowett Human Nutrition Unit staff for their technical help with the interventions. Staff members who helped include Jean Bryce, Nina Lamza and Karen Taylor. The Rowett Institute and Biomathematics and Statistics Scotland are grateful to the Scottish Government for funding this work. ; Peer reviewed ; Publisher PDF
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In: Forum for Interdisciplinary Mathematics
In: Springer eBook Collection
Chapter 1. Dynamical models of single and predator-prey species -- Chapter 2. Dynamical models of single-species in polluted environment -- Chapter 3. Nonautonomous two species systems in polluted environment -- Chapter 4. Single-species systems in polluted environment -- Chapter 5. Stability Behaviour of two Interacting Species in Randomly Fluctuating and Deterministic Environments -- Chapter 6. Stochastic analysis of a demographic model of urbanization -- Chapter 7. Non-Equilibrium Thermodynamics of Interacting Species -- Chapter 8. Stability of a social group.