一类单种群动态模型的稳定性

一、引言及引理考虑一类单种群动态模型对方程（1）总假设满足其中N（t）为种群在时刻t的数量或密度．由于方程（1）是描述种群增长的生态模型,因此我们考虑（1）的正解且满足初始条件：易证（1）和（2）有唯一正常数平衡点本文研究（1）关于N*的稳定性．（1）的特别情形是其中（1a）描述在食物资源严重不足种群数量充分大导致种群内部互相竞争残杀时的增长模型［1];（1b）描述种内既有竞争又有协作的所谓ALLEE效应的增长模型［2]．事实上,若β＞0,由（1b）式知,当N（t-r）充分小时,当N（t—r）充分大时,这正是ALLEE效应．文献…     

Fluorescent localization of thiols and disulfides in marsupial spermatozoa by bromobimane labelling

The acrosome of marsupial spermatozoa is a robust structure which, unlike its placental counterpart, resists disruption by detergent or freeze/thawing and does not undergo a calcium ionophore induced acrosome reaction. In this study specific fluorescent thiol labels, bromobimanes, were used to detect reactive thiols in the intact marsupial spermatozoon and examine whether disulfides play a role in the stability of the acrosome. Ejaculated brushtail possum (Trichosurus vulpecula) and tammar wallaby (Macropus eugenii) spermatozoa were washed by swim up and incubated with or without dithiothreitol (DTT) in order to reduce disulfides to reactive thiols. Spermatozoa were then washed by centrifugation and treated with monobromobimane (mBBr), a membranepermeable bromobimane, or with monobromotrimethylammoniobimane (qBBr), a membrane-impermeable bromobimane. Labelled spermatozoa were examined by fluorescence microscopy and sperm proteins (whole sperm proteins and basic nuclear proteins) were analysed by gel electrophoresis. The membrane-permeable agent mBBr lightly labelled the perimeter of the acrosome of non-DTT-treated possum and wallaby spermatozoa, indicating the presence of peri-acrosomal thiol groups. After reduction of sperm disulfides by DTT, mBBr labelled the entire acrosome of both species. The membrane-impermeable agent qBBr did not label any part of the acrosome in non-DTT or DTT-treated wallaby or possum spermatozoa. Thiols and disulfides are thus associated with the marsupial acrosome. They are not found on the overlying plasma membrane but are either in the acrosomal membranes and/or matrix. The sperm midpiece and tail were labelled by mBBr, with increased fluorescence observed in DTT-treated spermatozoa. The nucleus was not labelled in non-DTT or DTT-treated spermatozoa. Electrophoretic analysis confirmed the microscopic observations: Basic nuclear protein (protamines) lacked thiols or disulfide groups. Based on these findings, the stability of the marsupial acrosome may be due in part to disulfide stabilization of the acrosomal membranes and/or acrosomal matrix. In common with placental mammals, thiol and disulfide containing proteins appear to play a role in the stability of sperm tail structures. It was confirmed that the fragile marsupial sperm nucleus lacked thiols and disulfides. © 1994 Wiley-Liss, Inc.     

Stability of bilirubin oxidase in organic solvent media: a comparative study on two low-water systems

The storage stability of bilirubin oxidase was studied in water-in-oil CTAB microemulsions with a chloroformrich continuous organic phase. The kinetics of the inactivation process were best described by a double exponential equation. Approximately half of enzymatic activity was lost during a "fast" phase with a half life of ca. 50 min, whereas the remaining activity was lost much more slowly (half life ca. 1000 min). Rates of inactivation were not affected significantly by variation of either solvent composition or concentration of water droplets, but inactivation was more rapid when droplet size was very small. Steady-state enzyme kinetics were studied at various stages in the inactivation process, and it was shown that inactivation occurred without change in the K(m) of the enzyme for bilirubin. Stability was also studied in a liquid/solid two-phase system; it was found that the inactivation process in this system; it was found that the inactivation process in this system was best described by a single exponential term. The rate was similar to the "fast" phase rate observed in the water-in-oil microemulsion system. Inactivation of the enzyme slow. Addition of the surfactant CTAB to the aqueous environment increased the rate of inactivation to levels comparable to those of the "slow" phase observed in water-in-oil microemulsions. (c) 1993 Wiley & Sons, Inc.     

Investigation of subpopulation heterogeneity and plasmid stability in recombinant escherichia coli via a simple segregated model

Many microbial and cell cultures exhibit phenomena that can best be described using a segregated modeling approach. Heterogeneties are more marked in recombinant cell cultures because subpopulations, which often exhibit different growth and productivity characteristics, are more easily identified by selective markers. A simple segregated mathematical model that simulates the growth of recombinant Escherichia coli cells is developed. Subpopulations of different growth rate, plasmid replication rate, and plasmid segregation probability are explicitly considered. Results indicate that a third mechanism of plasmid instability, referred to here as a "downward selective pressure," is significant when describing plasmid loss in batch and chemostat cultures. Also, the model agrees well with experimental data from cultures under antibiotic selective pressure. Finally, model simulations of chemostat cultures reveal the importance of initial conditions on culture stability and the possible presence of nonrandom partitioning functions. (c) 1993 John Wiley & Sons, Inc.     

Five fundamental ways in which complex food webs may spiral out of control

Theory suggests that increasingly long, negative feedback loops of many interacting species may destabilize food webs as complexity increases. Less attention has, however, been paid to the specific ways in which these ‘delayed negative feedbacks’ may affect the response of complex ecosystems to global environmental change. Here, we describe five fundamental ways in which these feedbacks might pave the way for abrupt, large-scale transitions and species losses. By combining topological and bioenergetic models, we then proceed by showing that the likelihood of such transitions increases with the number of interacting species and/or when the combined effects of stabilizing network patterns approach the minimum required for stable coexistence. Our findings thus shift the question from the classical question of what makes complex, unaltered ecosystems stable to whether the effects of, known and unknown, stabilizing food-web patterns are sufficient to prevent abrupt, large-scale transitions under global environmental change.     

Sex determination and optimal development in the Moorish gecko,Tarentola mauritanica

Under temperature sex determination (TSD), sex is determined by temperature during embryonic development. Depending on ecological and physiological traits and plasticity, TSD species may face demographic collapse due to climate change. In this context, asymmetry in bilateral organisms can be used as a proxy for developmental instability and, therefore, deviations from optimal incubation conditions. Using Tarentola mauritanica gecko as a model, this study aimed first to confirm TSD, its pattern and pivotal temperature, and second to assess the local adaptation of TSD and variation of asymmetry patterns across four populations under different thermal regimes. Eggs were incubated at different temperatures, and hatchlings were sexed and measured. The number of lamellae was counted in adults and hatchlings. Results were compatible with a TSD pattern with males generated at low and females at high incubation temperatures. Estimated pivotal temperature coincided with the temperature producing lower embryonic mortality, evidencing selection towards balanced sex ratios. The temperature of oviposition was conservatively selected by gravid females. Asymmetry patterns found were likely related to nest temperature fluctuations. Overall, the rigidity of TSD may compromise reproductive success, and demographic stability in this species in case thermal nest choice becomes constrained by climate change.     

Experimental evidence of size-selective harvest and environmental stochasticity effects on population demography,fluctuations and non-linearity

Theory and analyses of fisheries data sets indicate that harvesting can alter population structure and destabilise non-linear processes, which increases population fluctuations. We conducted a factorial experiment on the population dynamics of Daphnia magna in relation to size-selective harvesting and stochasticity of food supply. Harvesting and stochasticity treatments both increased population fluctuations. Timeseries analysis indicated that fluctuations in control populations were non-linear, and non-linearity increased substantially in response to harvesting. Both harvesting and stochasticity induced population juvenescence, but harvesting did so via the depletion of adults, whereas stochasticity increased the abundance of juveniles. A fitted fisheries model indicated that harvesting shifted populations towards higher reproductive rates and larger-magnitude damped oscillations that amplify demographic noise. These findings provide experimental evidence that harvesting increases the non-linearity of population fluctuations and that both harvesting and stochasticity increase population variability and juvenescence.     

An in silico analysis on the photoproteins Mnemiopsin 1 and Mnemiopsin 2 to explain the experimental results

Mnemiopsin 1 (Mn1) and Mnemiopsin 2 (Mn2) are photoproteins found in Mnemiopsis leidyi. We have tried to answer the question of whether the structural features of photoproteins can explain the observed activity data. According to the activity measurements data, they have the same characteristic wavelength. However, the initial intensity of Mn2 is significantly higher than that of Mn1, and decay time of Mn1 (0.92 s⁻¹) is lower than that of Mn2 (1.46 s⁻¹). The phylogenetic analysis demonstrates that, compared with Obelin and Aequorin from Obelia longissima and Aequorea victoria, respectively, a gene modification event may have caused the expansion of the N-terminal side of all photoproteins from M. leidyi. An in silico study has shown that the stability of the photoprotein–substrate complex of Mn2 is higher than that of Mn1, indicating a higher affinity of the substrate for Mn2 compared with Mn1. It was revealed that the active EF-hand loops 1 and III in Mn2 is locally more rigid compared with those in Mn1. We concluded that different stability of the photoprotein complexes leads to different initial intensity. While different patterns of the local dynamics of loops I and III may influence the decay rate.