Ovsiannikov L L
Zh Obshch Biol. 1992 Jan-Feb;53(1):92-107.
Dynamics of biological community of the "resource--consumer" type considering age structure of consumer population is described by a system of differential equations with special derivatives. On the basis of such a model, a competition model for non-crossing populations with different individual development rates is elaborated. It is shown that only a population with development rates maximizing the Malthusian function (reaching zero value at the equilibrium state of the system) is able to survive under competition for food resources. Equilibrium density of the resources is provided being minimal. Thus maximum energy influx into the population is gained. Search algorithm of evolutionary values of puberty, age and maximal longevity of individuals belonging to the consumer population is proposed. Analytic dependence of maximal longevity on environmental factors and some other parameters are found. Aging is considered to be mechanism leading to death while individual approaches evolutionary optimal longevity.
考虑消费者种群年龄结构的“资源 - 消费者”型生物群落动态由具有特殊导数的微分方程组描述。基于这样一个模型,阐述了具有不同个体发育率的非交叉种群的竞争模型。结果表明,只有发育率能使马尔萨斯函数最大化(在系统平衡状态达到零值)的种群才能在食物资源竞争中存活。资源的平衡密度被设定为最小。从而使种群获得最大的能量流入。提出了消费者种群中个体青春期、年龄和最大寿命的进化值搜索算法。发现了最大寿命对环境因素和其他一些参数的解析依赖关系。衰老被认为是个体接近进化最优寿命时导致死亡的机制。