Two-dimensional poisonous weed invasion model based on birth and death process.
In order to understand the mechanism of edible pasture invaded by poisonous weeds in China and protect the sustainable development of agriculture and animal husbandry, a two-dimensional poisonous weed invasion model was established. Based on the invasion of local edible pasture system by exotic weeds, the average biomass and mean survival time of the ecosystem were calculated by modeling. The spatial distribution data of local edible pasture and poisonous weeds were obtained by computer simulation method, and then the hypothesis test of spatial distribution types was carried out. The results showed that the edible pasture with block growth would not grow when the environmental capacity was reached. After adding the block growth to the edible pasture, the aggregate distribution time point of edible pasture was pushed from the 8th time point to the 12th time point, and the aggregate distribution time point of poisonous weeds were advanced from the 8th time point to the 6th time point. After adding the invasive item to the poisonous weeds, the aggregate distribution of edible pasture changed from the 8th time point to the 9th time point and the poisonous weed were advanced by a time point. Therefore, the block growth of edible pasture and the invasion of poisonous weeds could affect the spatial distribution of the population, both of which delay the accumulation of edible pastures, and made the time for the aggregation of poisonous weed to advance.